PUBLICATIONS IN REFEREED JOURNALS:
Kevin E.M. Church, Xinzhi Liu. Invariant manifold-guided impulsive stabilization of delay equations. IEEE Trans. Automat. Control 66 (2021), No. 12, 5997-6002.
Qiang Xi, and Xinzhi Liu, Finite-time stability and controller design for a class of hybrid dynamical systems with deviating argument. Nonlinear Anal. Hybrid Syst. 39 (2021), 100952.
Taotao Hu, Xinzhi Liu, Zheng He, Xiaojun Zhang, Shouming Zhong. Hybrid event-triggered and impulsive control strategy for multiagent systems with switching topologies. IEEE Trans Cybern. 2020 (early access), doi: 10.1109/TCYB.2020.3035713.
Jinnan Luo, Xinzhi Liu, Wenhong Tian, Shouming Zhong, Kaibo Shi. Nonfragile sampled-data filtering of uncertain fuzzy systems with time-varying delays. IEEE Trans Cybern. 51 (2021), no. 8, 4993-5004.
Guang Ling, Xinzhi Liu, Ming-Feng Ge, Yonghong Wu. Delay-dependent cluster synchronization of time-varying complex dynamical networks with noise via delayed pinning impulsive control. J. Franklin Inst. 358 (2021), no. 6, 3193–3214.
Huihui Ji, Baotong Cui,Xinzhi Liu. Networked sampled-data control of distributed parameter systems via distributed sensor networks. Commun. Nonlinear Sci. Numer. Simul. 98 (2021), 105773, 15 pp.
Mengyao Zhang, Xinzhi Liu, Jun Liu. Convergence analysis of a continuous-time distributed gradient descent algorithm. IEEE Control Syst. Lett. 5 (2021), no. 4, 1339–1344.
Hongxia Zhang, Xinzhi Liu and Wei Xu, Threshold dynamics and pulse control of a stochastic ecosystem with switching parameters. J. Franklin Inst. 358 (2021), no. 1, 516–532.
Can Zhao, Xinzhi Liu, Shouming Zhong, Kaibo Shi, Daixi Liao, and Qishui Zhong, Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control. Appl. Math. Comput. 395 (2021), 125850.
Qiang Xi, and Xinzhi Liu, Mode-dependent impulsive control of positive switched systems: Stability and L1-gain analysis. Chaos Solitons Fractals 140 (2020), 110276.
Zixing Wu, Xinzhi Liu, Jinsheng Sun and Ximing Wang. Multi-group formation tracking control via impulsive strategy. Neurocomputing 411 (2020) 487–497.
Zhen Xu, Xinzhi Liu, Qing-Wei Chen, Zi-Xing Wu. Hunting problems of multi-quadrotor systems via bearing-based hybrid protocols with hierarchical network 2020 Chin. Phys. B 29 050701.
Sara Sottile and Xinzhi Liu, Time-varying epidemic transmission in heterogeneous networks and applications to measles. J. Biol. Systems 28 (2020), no. 4, 901–926.
Huihui Ji, Baotong Cui and Xinzhi Liu, Adaptive control of Markov jump distributed parameter systems via model reference. Fuzzy Sets and Systems 392 (2020), 115–135.
Cong Wu and Xinzhi Liu, The continuation of solutions to systems of Caputo fractional order differential equations. Fract. Calc. Appl. Anal. 23 (2020), no. 2, 591–599.
Reza Mohsenipour and Xinzhi Liu, Robust D-stability test of LTI general fractional order control systems. IEEE/CAA J. Autom. Sin. 7 (2020), no. 3, 853–864.
Jun Yang, Xinzhi Liu and Xingwen Liu, Stability of stochastic functional differential systems with semi-Markovian switching and Lévy noise by functional Itô's formula and its applications. J. Franklin Inst. 357 (2020), no. 7, 4458–4485.
Yaonan Shan, Xinzhi Liu, Kun She, Shouming Zhong, Jun Cheng and Xiaojun Zhang, Extended dissipative asynchronous filtering for T-S fuzzy switched systems with partial transition descriptions and incomplete measurements. Nonlinear Anal. Hybrid Syst. 37 (2020), 100906, 27 pp.
Xinzhi Liu and Kexue Zhang, Input-to-state stability of time-delay systems with delay-dependent impulses. IEEE Trans. Automat. Control 65 (2020), no. 4, 1676–1682.
Jinnan Luo, Mengling Li, Xinzhi Liu, Wenhong Tian, Shouming Zhong, Kaibo Shi, Stabilization analysis for fuzzy systems with a switched sampled-data control. J. Franklin Inst. 357 (2020), no. 1, 39–58.
Ping Li, Xinzhi Liu, Wu Zhao and Shouming Zhong, A new looped-functional for stability analysis of the linear impulsive system. Commun. Nonlinear Sci. Numer. Simul. 83 (2020), 105140, 10 pp.
Duyu Liu, Xinzhi Liu, Hao Chen, Shouming Zhong, A PAIM control scheme on hybrid system with its application on SIDO buck converter. Phys. A 540 (2020), 123118, 12 pp.
Hao Chen, Xinzhi Liu, Xingwen Liu, Shouming Zhong. A hybrid proportional impulsive plus integral robust control algorithm for H∞ stabilization. IEEE Trans Cybern. 50 (2020), no. 12, 5211-5220.
Jinnan Luo, Xinzhi Liu, Wenhong Tian, Shouming Zhong, Kaibo Shi, Jun Cheng, A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control. Appl. Math. Comput. 368 (2020), 124774, 12 pp.
Jinnan Luo, Xinzhi Liu, Wenhong Tian, Shouming Zhong, Kaibo Shi, Mengling Li, Finite-time H∞ reliable control for T-S fuzzy systems with variable sampling. Phys. A 538 (2020), 122697, 10 pp.
Xinzhi Liu, Cesar Ramirez, Stability analysis by contraction principle for impulsive systems with infinite delays. Commun. Nonlinear Sci. Numer. Simul. 82 (2020), 105021, 17 pp.
Xin Wang, Xinzhi Liu, Kun She, Shouming Zhong, Lin Shi. Delay-dependent impulsive distributed synchronization of stochastic complex dynamical networks with time-varying delays. IEEE Trans Cybern. 49 (2019), no. 7, 1496-1504.
Tao Zhan, Shuping Ma, Xinzhi Liu, Hao Chen, Exponential stability and H∞ control of uncertain singular nonlinear switched systems with impulsive perturbations. Internat. J. Systems Sci. 50 (2019), no. 13, 2424–2436.
Tao Zhan, Shuping Ma, Xinzhi Liu, Synchronization of singular switched complex networks via impulsive control with all nonsynchronized subnetworks. Internat. J. Robust Nonlinear Control 29 (2019), no. 14, 4872–4887.
Tao Zhan, Shuping Ma, Xinzhi Liu, Hao Chen, Impulsive observer design for a class of switched nonlinear systems with unknown inputs. J. Franklin Inst. 356 (2019), no. 12, 6757–6777.
Qian Li, Xinzhi Liu, Qingxin Zhu, Shouming Zhong, Jun Cheng, Stochastic synchronization of semi-Markovian jump chaotic Lur'e systems with packet dropouts subject to multiple sampling periods. J. Franklin Inst. 356 (2019), no. 13, 6899–6925.
Xiang Xie, Xinzhi Liu and Honglei Xu. Synchronization of delayed coupled switched neural networks: Mode-dependent average impulsive interval, Neuralcomputing 365 (2019) 261-272.
Xiang Xie, Xinzhi Liu, Honglei Xu, Xiaobing Luo, Genfan Liu, Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control. Commun. Nonlinear Sci. Numer. Simul. 79 (2019), 17 pages.
Kevin E.M. Church and Xinzhi Liu. Cost-Effective Robust Stabilization and Bifurcation Suppression. SIAM J. Control Optim. 57 (2019), no. 3, 2240–2268.
Cong Wu and Xinzhi Liu. Lyapunov and external stability of Caputo fractional order switching systems. Nonlinear Anal. Hybrid Syst. 34 (2019), 131–146.
Kevin E.M. Church and Xinzhi Liu. Computation of centre manifolds and some codimension-one bifurcations for impulsive delay differential equations. J. Differential Equations 267 (2019), no. 6, 3852–3921.
Jiaojiao Ren, Xinzhi Liu, Hong Zhu, Shouming Zhong. Passivity-based non-fragile control for Markovian jump delayed systems via stochastic sampling. Internat. J. Control 92 (2019), no. 4, 755–777.
Kevin E.M. Church and Xinzhi Liu. Analysis of a SIR model with pulse vaccination and temporary immunity: stability, bifurcation and a cylindrical attractor. Nonlinear Anal. Real World Appl. 50 (2019), 240–266.
Jiaojiao Ren, Xinzhi Liu, Hong Zhu, Shouming Zhong, Cong Wu. Exponential H∞ synchronization of switching fuzzy systems with time-varying delay and impulses. Fuzzy Sets and Systems 365 (2019), 116–139.
Ladan Khoshnevisan, Xinzhi Liu. Fractional order predictive sliding-mode control for a class of nonlinear input-delay systems: singular and non-singular approach. Internat. J. Systems Sci. 50 (2019), no. 5, 1039–1051.
Ruimei Zhang, Deqiang Zeng, Xinzhi Liu, Shouming Zhong, and Jun Cheng. New results on stability analysis for delayed markovian generalized neural networks with partly unknown transition rates. IEEE Trans. on Neural Networks Learning Sys. 30(2019) no. 11, 3384-3394.
Ruimei Zhang, Deqiang Zeng, Xinzhi Liu, Shouming Zhong and Kaibo Shi. A new method for quantized sampled-data synchronization of delayed chaotic Lur'e systems. Appl. Math. Model. 70 (2019), 471–489.
Mengzhuo Luo, Jun Cheng, Xinzhi Liu, Shouming Zhong, An extended synchronization analysis for memristor-based coupled neural networks via aperiodically intermittent control. Appl. Math. Comput. 344/345 (2019), 163–182.
Ladan Khoshnevisan, Xinzhi Liu, Farzad R. Salmasi, Stability and Hopf bifurcation analysis of a TCP/RAQM network with ISMC procedure. Chaos Solitons Fractals 118 (2019), 255–273.
Qian Li, Xinzhi Liu, Qingxin Zhu, Shouming Zhong, Dian Zhang, Distributed state estimation for stochastic discrete-time sensor networks with redundant channels. Appl. Math. Comput. 343 (2019), 230–246.
Zengyun Wang, Xinzhi Liu, Exponential stability of impulsive complex-valued neural networks with time delay. Math. Comput. Simulation 156 (2019), 143–157.
Zengyun Wang, Xinzhi Liu, Synchronization of interconnected discontinuous neural networks with nonlinear coupling functions. IEEE Access 7 (2019), 25804-25814.
Xinzhi Liu, Kexue Zhang and Wei-Chau Xie. Impulsive consensus of networked multi-agent systems with distributed delays in agent dynamics and impulsive protocols, J. Dyn. Sys. Meas. Control 141(2019), (1):011008.
Xinzhi Liu, Kexue Zhang, Stabilization of nonlinear time-delay systems: Distributed-delay dependent impulsive control. Systems Control Lett. 120 (2018), 17–22.
Tao Zhan, Xinzhi Liu, Shuping Ma, A new singular system approach to output feedback sliding mode control for fractional order nonlinear systems. J. Franklin Inst. 355 (2018), no. 14, 6746–6762.
Xinzhi Liu, Kexue Zhang, Wei-Chau Xie, Consensus of multi-agent systems via hybrid impulsive protocols with time-delay. Nonlinear Anal. Hybrid Syst. 30 (2018), 134–146.
Mengzhuo Luo, Xinzhi Liu, Shouming Zhong, Jun Cheng, Synchronization of multi-stochastic-link complex networks via aperiodically intermittent control with two different switched periods. Phys. A 509 (2018), 20–38.
Ruimei Zhang, Xinzhi Liu, Deqiang Zeng, Shouming Zhong and Kaibo Shi. A novel approach to stability and stabilization of fuzzy sampled-data Markovian chaotic systems. Fuzzy Sets and Systems 344 (2018), 108–128.
Kevin E. M. Church, Xinzhi Liu, Smooth centre manifolds for impulsive delay differential equations. J. Differential Equations 265 (2018), no. 4, 1696–1759.
Yuping Zhang, Xinzhi Liu, Huaiyue Zhang, Chunhua Jia, Constructing chaotic systems from a class of switching systems. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 28 (2018), no. 2, 1850032.
Xinzhi Liu and Peter Stechlinski. Switching and impulsive control algorithms for nonlinear hybrid dynamical systems. Nonlinear Anal. Hybrid Syst. 27 (2018), 307–322.
Kevin E.M. Church and Xinzhi Liu. Bifurcation Analysis and Application for Impulsive Systems with Delayed Impulses. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 27 (2017), no. 12, 1750186, 23 pp. 37 (34)
Xinzhi Liu and Cong Wu. Fault-tolerant synchronization for nonlinear switching systems with time-varying delay. Nonlinear Anal. Hybrid Syst. 23 (2017), 91–110.
Xinzhi Liu and Peter Stechlinski. Switching vaccination schemes for vector-borne diseases with seasonal fluctuations. J. Biol. Systems 25 (2017), no. 3, 441–477.
Ping Li, Xinzhi Liu, Wu Zhao and Shouming Zhong. Finite-gain L∞ stability from disturbance to output of linear delay systems via impulsive control. IET Control Theory Appl. 11 (2017), no. 9, 1388–1393.
Xin Wang, Xinzhi Liu, Kun Shi and Shouming Zhong. Pinning impulsive synchronization of complex dynamical networks with various time-varying delay sizes. Nonlinear Anal. Hybrid Syst. 26 (2017), 307–318.
Cong Wu and Xinzhi Liu. External stability of switching control systems. Systems Control Lett. 106 (2017), 24–31.
Xin Wang, Xinzhi Liu, Kun Shi and Shouming Zhong. Finite-time lag synchronization of master-slave complex dynamical networks with unknown signal propagation delays. J. Franklin Inst. 354 (2017), no. 12, 4913–4929.
Xinzhi Liu, Kexue Zhang and Wei-Chau Xie. Consensus Seeking in Multi-agent Systems via Hybrid Impulsive Protocols with Time-Delay. Nonlinear Anal. Hybrid Syst.25 (2017), 90-98.
Li Yang, Xinzhi Liu and Zhigang Zhang. Exponentially Dissipative Control for Singular Impulsive Dynamical Systems. J. Dyn. Sys., Meas., Control 139(2017), no. 4,041008-1/6
Jiaojiao Ren, Xinzhi Liu, Hong Zhu, Shouming Zhong. Passivity analysis of neural networks with two different Markovian jumping parameters and mixed time delays. ISA Transactions 69 (2017),102-121.
Xinzhi Liu, Kexue Zhang and Wei-Chau Xie. Pinning impulsive synchronization of reaction-diffusion neural networks with time-varying delays. IEEE Trans. on Neural Networks Learning Sys. 28(2017) no. 5, 1055-1067.
Zhuyuan Yang, Xin Wang and Xinzhi Liu. Approximation on the rotation group SO(3). J. Nonlinear Sci. Appl. 10 (2017), no. 4, 1561–1568.
Kevin E. M. Church, Xinzhi Liu. Bifurcation of Bounded Solutions of Impulsive Differential Equations. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 26 (2016), no. 14, 1650242, 20 pp.
Xiying Wang, Xinzhi Liu, Wei Xu, Wei-Chau Xie, Wanping Liu. The dynamics of HIV models with switching parameters and pulse control. J. Biol. Systems 24 (2016), no. 4, 385–407.
Xinzhi Liu, Kexue Zhang and Wei-Chau Xie. Stabilization of time-delay neural networks via delayed pinning impulses. Chaos Solitons Fractals 93 (2016), 223–234.
Yuanhua Du, Xinzhi Liu and Shouming Zhong. Robust reliable H∞ control for neural networks with mixed time delays. Chaos Solitons Fractals 91 (2016), 1–8.
Xinzhi Liu and Kexue Zhang. Synchronization of linear dynamical networks on time scales: pinning control via delayed impulses. Automatica J. IFAC 72 (2016), 147–152.
Moosa Ayati, Mohamad Alwan, Xinzhi Liu and Hamid Khaloozadeh. State estimation of stochastic impulsive system via stochastic adaptive impulsive observer. Asian J. Control 18 (2016), no. 2, 514–526.
Mohamad Alwan, Xinzhi Liu. Recent results on stochastic hybrid dynamical systems. J. Control Decis. 3 (2016), no. 1, 68–103.
Kaibo Shi, Xinzhi Liu, Hong Zhu, Shouming Zhong, Yong Zeng and Chun Yin. Novel delay-dependent master-slave synchronization criteria of chaotic Lur'e systems with time-varying-delay feedback control. Appl. Math. Comput. 282 (2016), 137–154.
Xinzhi Liu and Peter Stechlinski. Hybrid stabilization and synchronization of nonlinear systems with unbounded delays. Appl. Math. Comput. 280 (2016), 140–161.
Xiying Wang, Xinzhi Liu, Wei-Chau Xie, Wei Xu and Yong Xu. Global stability and persistence of HIV models with switching parameters and pulse control. Math. Comput. Simulation 123 (2016), 53–67。
Kaibo Shi, Xinzhi Liu, Hong Zhu, Shouming Zhong. On designing stochastic sampled-data controller for master-slave synchronization of chaotic Lur'e system via a novel integral inequality. Commun. Nonlinear Sci. Numer. Simul. 34 (2016), 165–184.
Jie Pan, Xinzhi Liu, Wei-chau Xie. Exponential stability of a class of complex-valued neural networks with time-varying delays. Neurocomputing, 164, Issue C, (2015), 293-299.
Mohamad Alwan and Xinzhi Liu. Stability and input-to-state stability for stochastic systems and applications. Appl. Math. Comput.268 (2015), 450-461.
Xinzhi Liu and Peter Stechlinski. Application of control strategies to a seasonal model of chikungunya disease. Appl. Math. Model.39(12) (2015), 3194–3220.
Zhigang Zhang and Xinzhi Liu. Razumikhin-type stability theorems for impulsive discrete systems with time delay. Dynam. Systems Appl. 24 (2015), no. 1-2, 51–66.
Yuping Zhang, Xinzhi Liu, Hong Zhu and Yong Zeng. Chaotification of switching control systems via dwell time approach. Asian Journal of Control. 17(5) (2015), 1611-1619.
Xiying Wang, Xinzhi Liu, Wei Xu and Kexue Zhang, Stochastic dynamics of HIV models with switching parameters and pulse control. J. Franklin Inst.352 (7) (2015), 2765–2782.
Shukai Li, Xinzhi Liu, Wansheng Tang and Jianxiong Zhang. Flocking of Multi-Agents Following a Leader with Adaptive Protocol in a Noisy Environment. Asian J. Control 16, No. 6, (2014), 1771–1778.
Xinzhi Liu and Kexue Zhang. Impulsive control for stabilisation of discrete delay systems and synchronisation of discrete delay dynamical networks. IET Control Theory Appl. 8 (2014), no. 13, 1185–1195.
Xinzhi Liu and Peter Stechlinski. SIS models with switching and pulse control. Appl. Math. Comput. 232 (2014), 727–742.
Xinzhi Liu and Peter Stechlinski. Hybrid control of impulsive systems with distributed delays. Nonlinear Anal. Hybrid Syst. 11 (2014), 57–70.
Hongtao Zhang, Xinzhi Liu and Xianguo Li. Chaos entanglement: leading unstable linear systems to chaos. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 24 (2014), no. 4, 1450047, 13 pp.
Yuping Zhang, Xinzhi Liu, Hong Zhu and Yong Zeng. Chaotification of a class of linear switching systems by hybrid driven methods. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 24 (2014), no. 3, 1450033, 9 pp.
Xinzhi Liu and Peter Stechlinski. Transmission dynamics of a switched multi-city model with transport-related infections. Nonlinear Anal. Real World Appl. 14 (2013), no. 1, 264-279.
Mohamad S. Alwan, Xinzhi Liu and Wei-Chau Xie. On design of robust reliable H∞ control and input-to-state stabilization of uncertain stochastic systems with state delay. Commun. Nonlinear Sci. Numer. Simul. 18 (2013), no. 4, 1047-1056.
Hongtao Zhang, Xinzhi Liu, Xuenin Shen and Jun Liu. Chaos entanglement: a new approach to generate chaos. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 23 (2013), no. 5, 1330014, 17 pp.
Mohamad S. Alwan, Xinzhi Liu and Wei-Chau Xie. Comparison principle and stability of differential equations with piecewise constant arguments. J. Franklin Inst. 350 (2013), no. 2, 211-230.
Jun Liu, Xinzhi Liu and Wei-Chau Xie. Stability of uncertain switched distributed parameter systems with multiple time-varying delays. Nonlinear Stud. 20 (2013), no. 2, 173-193.
Xinzhi Liu and Peter Stechlinski. Infectious disease models with time-varying parameters and general nonlinear incidence rate. Appl. Math. Model. 36(2012), 1974 – 1994.
Peter Stechlinski and Xinzhi Liu. Control strategies applied to a stochastic disease model with term-time forcing. Neural, Parallel, and Scientific Computations 20 (2012) 37-50.
Jun Liu, Xinzhi Liu and Wei-Chau Xie. Class-KL estimates and input-to-state stability analysis of impulsive switched systems. Systems Control Lett. 61 (2012), no. 6, 738–746.
Jun Liu, Xinzhi Liu and Wei-Chau Xie. Global
convergence of neural networks with mixed time-varying delays and discontinuous
neuron activations. Inf. Sci. 183(2012), no.1, 92-105.
Xinzhi Liu and Shuai Yuan, Reduced-order fault detection filter design for switched nonlinear systems with time delay, Nonlinear Dynamics, 67(2012), no. 1, 601-617.
Jose Marao, Xinzhi Liu, and Annibal Figueiredo. Using impulses to control the convergence toward invariant surfaces of continuous dynamical systems. Chaos Solitons Fractals 45 (2012), no. 8, 1067–1079.
Qing Wang and Xinzhi Liu. Stability criteria of a class of nonlinear impulsive switching systems with time-varying delays. J. Franklin Inst. 349 (2012), no. 3, 1030–1047.
Xinzhi Liu, Xuemin Shen and Hongtao Zhang, Multi-scroll chaotic and hyperchaotic
attractors generated from Chen system. Int. J. Bifurcation and Chaos 22(2012),
1250033 (15 pages).
Changfan Zhang, Xinzhi Liu and Jing He, Robust sensor fault reconstruction for nonlinear systems using observers. Int. J. Bifurcation and Chaos 22(2012), 1250031 (7 pages).
Li Yang, Xinzhi Liu, Zhigang Zhang. Dissipative control for singular impulsive
dynamical systems. Electron. J. Qual.
Theory Differ. Equ. 2012, No. 32, 11 pp.
Lianglin Xiong, Junkang Tian, and Xinzhi Liu. Stability analysis for neutral Markovian jump systems with partially unknown transition probabilities. J. Franklin Inst. 349 (2012), no. 6, 2193–2214.
Thongchai
Botmart, Piyapong Niamsup, Xinzhi Liu. Synchronization of non-autonomous
chaotic systems with time-varying delay via delayed feedback control. Commun Nonlinear Sci Numer Simulat, 17,
(2012), 1894–1907.
Jun Liu, Xinzhi Liu, Wei-Chau Xie and Hongtao Zhang, Stochastic
consensus seeking with communication delays, Automatica, 47(2011),
no. 12, 2689-2696.
Xinzhi Liu, Xuemin Shen and Hongtao Zhang, Intermittent impulsive synchronization of chaotic delayed neural networks. Differ. Equ. Dyn. Syst. 19 (2011), no. 1-2, 149–169.
Jun Liu, Xinzhi Liu and Wei-Chau Xie, Generalized invariance principles for switched delay systems, IMA J. Math. Control Information, 28 (2011), no. 1, 19–39.
Xinzhi Liu and Shuai Yuan, On Designing H∞ Fault Estimator for Switched Nonlinear Systems of Neutral Type, Commun. Nonlinear Sci. Numer. Simulat., 16 (2011) 4379–4389.
Jun Liu, Xinzhi Liu and Wei-Chau Xie, Input-to-state stability of impulsive and switching hybrid systems with time-delay, Automatica, 47 (2011), pp. 899-908.
Xinzhi Liu and Peter Stechlinski, Pulse and constant control schemes for epidemic models with seasonality. Nonlinear Anal. Real World Appl. 12 (2011), no. 2, 931-946.
Jun Liu, Xinzhi Liu, and Wei-Chau Xie, Impulsive stabilization of stochastic functional differential equations. Appl. Math. Letters, 24(2011), 264-269.
Shuai Yuan and Xinzhi Liu, Fault estimator design for a class of switched systems with time-varying delay. Internat. J. Systems Sci,. 42(2011), no. 12, 2125-2135.
Feiqi Deng, Mingang Hua, Xinzhi Liu, Yunjian Peng, Juntao Fei, Robust delay-dependent exponential stability for uncertain stochastic neural networks with mixed delays. Neurocomputing, 74(2011), no. 10,1503-1509.
Rui Gao and Xinzhi Liu. Optimal control problems for general global hybrid dynamical systems with matrix cost functional. The ANZIAM Journal, 51 (2010), no.3, 331-349.
Mingang Hua, Xinzhi Liu, Feiqi Deng, Juntao Fei, New results on robust
exponential stability of uncertain stochastic neural networks with mixed
time-varying delays. Neural Processing Letters 32 (2010), no. 3, 219-233
Jingwen Qin and Xinzhi Liu, Delay-dependent criteria for stability analysis and synthesis of discrete impulsive switched systems with time delays and uncertainty. Nonlinear Stud. 17 (2010), no. 3, 215--225.
Jun Liu, Xinzhi Liu, Wei-Chau Xie, On the (h0, h)-stabilization of switched nonlinear systems via state-dependent switching rule. Appl. Math. Comput. 217 (2010), no. 5, 2067-2083.
Mohamad S. Alwan, Xinzhi Liu and Weichau Xie, Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay. J. Franklin Inst. 347 (2010), no. 7, 1317—1333.
Lijun Wang,
Lin Cai,
Xinzhi Liu, Xuemin (Sherman) Shen, Bounds
estimation and practical stability of AIMD/RED systems with time delays. Computer Networks 54 (2010),
no.7, 1069-1082
Yi Zuo, Yaunan Wang, Xinzhi Liu, Simon X. Yang, Lihong Huang, Xiru Wu and Zengyuan Wang, Neural network robust control for a nonholonomic mobile robot including actuator dynamics. International J. Innovative Compt. Infor. Control 6 (2010), no. 8, 3437-3449.
Rui Gao, Xinzhi Liu and Jilin Yang, On optimal control problems of a class of impulsive switching systems with terminal states constraints. Nonlinear Anal. 73 (2010), no. 7, 1940--1951.
Jie Pan, Xinzhi Liu and Shouming Zhong, Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. Math. Comput. Modelling 51 (2010), no. 9-10, 1037--1050.
Mingang Hua, Feiqi Deng, Xionzhi Liu and Yunjian Peng, Robust delay-dependent exponential stability of uncertain stochastic system with time-varying delay. Circuits Systems Signal Process. 29 (2010), no. 3, 515--526.
H. Adibi, Xinzhi Liu and M. Shojaei, Convergence criteria for a class of second-order difference equations. Dynam. Systems Appl. 19 (2010), no. 1, 73--86.
Yi Zuo, Yaunan Wang, Xinzhi Liu, Simon X. Yang, Lihong Huang, Xiru Wu and Zengyuan Wang, Neural network robust H∞ tracking control strategy for robot manipulators. Appl. Math. Model. 34 (2010), no. 7, 1823--1838.
Yi Zuo, Yaonan Wang, Lihong Huang,
Xinzhi Liu, Xiru Wu, Zengyun
Wang, Neural network-based robust H∞ decentralised
control strategy with new learning algorithm for robot manipulators, International
J. Automation Control 4
(2010), no.1, 3 --25.
Yi Zuo, Yaonan Wang, Ying Zhang, Xinzhi Liu, Lihong Huang, Zengyun Wang and Xiru Wu, On global robust stability of a class of delayed neural networks with discontinuous activation functions and norm-bounded uncertainty, Circuits, Systems, and Signal Process., 30 (2010), no. 1, 35--53.
Jun Liu, Xinzhi Liu and Weichau Xie, Robust stabilization of stochastic switched delay systems via state-dependent switching rule. Dynam. Systems Appl. 18 (2009), no. 2, 213--239.
Mohamad S. Alwan and Xinzhi Liu, Stability of singularly perturbed switched systems with time delay and impulsive effects. Nonlinear Anal. 71 (2009), no. 9, 4297--4308.
Jun Liu, Xinzhi Liu and Weichau Xie, Exponential stability of switched stochastic delay systems with non-linear uncertainties. Internat. J. Systems Sci. 40 (2009), no. 6, 637--648.
Lijun Wang, Lin Cai, Xinzhi Liu, Xuemin Shen and Junshan Zhang, Stability analysis of multiple-bottleneck networks, Computer Networks, v 53 (2009), no 3, p 338-352.
Anmar Khadra, Xinzhi Liu and Sherman Xuemin Shen, Analyzing the robustness of impulsive synchronization coupled by linear delayed impulses. IEEE Trans. Automat. Control 54 (2009), no. 4, 923--928.
Junhao Hu and Xinzhi Liu, Existence results of second-order impulsive neutral functional integrodifferential inclusions with unbounded delay in Banach spaces. Math. Comput. Modelling 49 (2009), no. 3-4, 516--526.
Zhigang Zhang and Xinzhi Liu, Robust stability of uncertain discrete impulsive switching systems. Comput. Math. Appl. 58 (2009), no. 2, 380--389.
Chenghui Zhang, Xianfu Zhang and Xinzhi Liu, Global stabilization of uncertain nonlinear time-delay systems by output feedback. Dynam. Systems Appl. 18 (2009), no. 2, 179--189.
Mohamad S. Alwan and Xinzhi Liu, On stability of linear and weakly nonlinear switched systems with time delay. Math. Comput. Modelling 48 (2008), no. 7-8, 1150--1157.
Shuqian Zhu, Chenghui Zhang, Xinzhi Liu and Zenbo Li, Delay-dependent robust $H_\infty$ control for singular systems with multiple delays. ANZIAM J. 50 (2008), no. 2, 209--230.
Qing Wang and Xinzhi Liu, Impulsive stabilization of cellular neural networks with time delay via Lyapunov functionals. J. Nonlinear Sci. Appl. 1 (2008), no. 2, 72--86.
Tingwen Huang, Chuandong Li and Xinzhi Liu, Synchronization of chaotic systems with delay using intermittent linear state feedback. Chaos 18 (2008), no. 3, 033122, 8 pages.
Bin Liu, Kok Lay Teo and Xinzhi Liu, Optimal control and robust stability of uncertain impulsive dynamical systems. Asian J. Control 10 (2008), no. 3, 314--326.
Bib Liu. Kok Lay Teo and Xinzhi Liu, Robust exponential stabilization for large-scale uncertain impulsive systems with coupling time-delays. Nonlinear Anal. 68 (2008), no. 5, 1169--1183.
Mohamad Alwan, Xinzhi Liu and Brian Ingalls, Exponential stability of singularly perturbed switched systems with time delay. Nonlinear Anal. Hybrid Systems 2 (2008), no. 3, 913-921.
Sehjeong Kim, Sue Ann Campbell and Xinzhi Liu, Delay independent stability of linear switching systems with time delay. J. Math. Anal. Appl. 339 (2008), no. 2, 785--801.
Jun Liu, Xinzhi Liu and Wei-Chau Xie, Delay-dependent robust control for uncertain switched systems with time-delay. Nonlinear Anal. Hybrid Syst. 2 (2008), no. 1, 81--95.
Duyu Liu, Xinzhi Liu and Shouming Zhong, Delay-dependent robust stability and control synthesis for uncertain switched neutral systems with mixed delays. Appl. Math. Comput. 202 (2008), no. 2, 828—839.
Bin Liu and Xinzhi Liu, Uniform stability of discrete impulsive systems. Internat. J.Systems Sci. 39 (2008), no. 2, 181--192.
Honglei Xu, Xinzhi Liu and Kok Lay Teo, Delay independent stability criteria of impulsive switched systems with time-invariant delays. Math. Comput. Modelling 47 (2008), no. 3-4, 372--379.
Honglei Xu, Xinzhi Liu and Kok Lay Teo, A LMI approach to stability analysis and synthesis of impulsive switched systems with time delays. Nonlinear Anal. Hybrid Syst. 2 (2008), no. 1, 38--50.
Shuping Ma, Chenghui Zhang and Xinzhi Liu, Robust stability and $H$-infinity control for uncertain discrete-time Markovian jump singular systems. J. Control Theory Appl. 6 (2008), no. 2, 133--140.
Yuping Zhang, Xinzhi Liu, Hong Zhu and Shouming Zhong, Robust sliding mode control for a class of uncertain switched neutral systems. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 15 (2008), no. 2, 207--218.
M.U. Akhmet, D. Aruğaslan, X. Liu, Permanence of nonautonomous ratio-dependent predator-prey systems with piecewise constant argument of generalized type. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 15 (2008), no. 1, 37--51.
Qing Wang and Xinzhi Liu, Exponential stability of impulsive cellular neural networks with time delay via Lyapunov functionals. Appl. Math. Comput. 194 (2007), no. 1, 186--198.
Shuping Ma, Xinzhi Liu and Chenghui Zhang, Delay-dependent stability and stabilization of uncertain discrete-time Markovian jump singular systems with time delay. ANZIAM J. 49 (2007), no. 1, 111--129.
Xinzhi Liu, Xuemin Shen, Yi Zhang and Qing Wang, Stability criteria for impulsive systems with time delay and unstable system matrices, IEEE Trans. Circuits Syst. I Regul. Pap. 54 (2007), no. 10, 2288-2298.
Xinzhi Liu and Qing Wang, The method of Lyapunov functionals and exponential stability of impulsive systems with time delay. Nonlinear Anal. 66 (2007), no. 7, 1465--1484.
Bin Liu and Xinzhi Liu, Robust stability of uncertain discrete impulsive systems, IEEE Trans. Circuits Syst. II 54 (2007), no. 5, 455-459.
Xinzhi Liu and Qing Wang, On stability in terms of two measures for impulsive systems of functional differential equations. J. Math. Anal. Appl. 326 (2007), no. 1, 252--265.
Shouming Zhong and Xinzhi Liu, Exponential stability and periodicity of cellular neural networks with time delay. Math. Comput. Modelling 45 (2007), no. 9-10, 1231--1240.
Yuping Zhang, Xinzhi Liu, Hong Zhu and Shouming Zhong, Stability analysis and control synthesis for a class of switched neutral systems. Appl. Math. Comput. 190 (2007), no. 2, 1258--1266.
Yong-Hoon Lee and Xinzhi Liu, Study of singular boundary value problems for second order impulsive differential equations. J. Math. Anal. Appl. 331 (2007), no. 1, 159--176.
Qing Wang and Xinzhi Liu, Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method. Appl. Math. Lett. 20 (2007), no. 8, 839--845.
Yi Zhang, Xinzhi Liu, and Xuemin Shen, Stability of switched systems with time delay. Nonlinear Anal. Hybrid Syst. 1 (2007), no. 1, 44--58.
Bin Liu, Xinzhi Liu and Xiaoxin Liao, Existence and uniqueness and stability of solutions for stochastic impulsive systems. J. Syst. Sci. Complex. 20 (2007), no. 1, 149--158.
Bin Liu, Xinzhi Liu and Kok Lay Teo, Feedback stabilization of dissipative impulsive dynamical systems. Inform. Sci. 177 (2007), no. 7, 1663--1672.
Lijun Wang, Lin Cai, Xinzhi Liu and Xuemin Shen, Stability and TCP-friendliness of AIMD/RED systems with feedback delays. Comput. Networks, 51 (2007), no. 15, 4475-4491.
Donal O’Regan and Xinzhi Liu, $R_\delta$ solution sets of integral inclusions on a noncompact interval via maximal solutions. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 14 (2007), no. 5, 685--694.
Xinzhi Liu and Hongtao Zhang, Robust stability of impulsive switched systems with disturbance.
ANZIAM J. 48 (2006), no. 2,
259--270.
Xinzhi Liu and Jianhua Shen, ``Stability
theory of hybrid dynamical systems with time delay’’. IEEE Trans. Automat. Control 51 (2006), 620--625.
Xinzhi Liu, Kok Lay Teo, Hongtao Zhang and Guanrong Chen,``Switching control
of linear systems for generating chaos”. Chaos Solitons Fractals 30 (2006), 725--733.
Sehjeong Kim, Sue Ann Campbell and Xinzhi Liu, ``Stability of a class of linear switching systems with time delay'', IEEE Trans. Circuits Systems I, 53 (2006), 384-393.
Bin Liu and Xinzhi Liu,``Robust global exponential stability of linear impulsive systems
with time-varying delay and uncertainty’’. Rocky Mountain J. Math. 36 (2006), 615--636.
Xinzhi Liu and Qing Wang, ``Stability of nontrivial solution of delay differential
equations with state-dependent impulses'', Appl. Math. Comp., 174, (2006), 271--288.
Bingji Xu, Xinzhi Liu and Xiaoxin Li ao, ``Global exponential stability of high order Hopfield type neural networks'', Appl. Math. Comp., 174, (2006), 98--116.
Xinzhi Liu, Kok Lay Teo and Bingji Xu, "Exponential stability of impulsive high order Hopfield type neural networks with time-varying delays", IEEE Transactions on Neural Networks, 16, (2005) 1329-1339.
Xinzhi Liu, Bin Liu, Guanrong Chan and Huayou Wang, ``Robust impulsive synchronization of
uncertain dynamical networks'', IEEE
Trans. Circuits Systems I, 52 (2005), 1431-1441.
Anmar Khadra, Xinzhi Liu and Xuemin Shen, ``Impulsively synchronizing chaotic systems with delay and applications to secure communication", Automatica, 41 (2005), 1491-1502.
Anmar Khadra, Xinzhi Liu and Xuemin Shen, ``Impulsive control and synchronization of spatiotemporal chaos", Chaos Solitons Fractals, 26, (2005), 615--636.
Xinzhi Liu, Kok Lay Teo and Yi Zhang, “Absolute stability of impulsive control systems with time delay”, Nonlinear Anal., 62 (2005), 429--453.
Xinzhi Liu, “Boundary value problems for abstract impulsive integro-differential equations on an infinite interval”, Dynam. Systems Appl., 14 (2005), 71--81.
Qing Wang and Xinzhi Liu, “Exponential stability for impulsive delay differential equations by Razumikhin method”, J. Math. Anal. Appl. 309 (2005), 462--473.
Honglei Xu, Xinzhi Liu and Kok Lay Teo, “Robust H-¥ stabilisation with definite attenuance of an uncertain impulsive switched system”, ANZIAM J. 46 (2005), 471--484.
Ravi P. Agarwal, Donal O’Regan and Xinzhi Liu, “A new approach to elliptic equations using a Leray-Schauder alternative for a subclass of weakly sequentially continuous maps”, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 12 (2005), 297--301.
Bin Liu, Guanrong Chen, Kok
Lay Teo and Xinzhi Liu , ``Robust global exponential
synchronization of general Lur'e chaotic systems
subject to impulsive disturbances and time delays’’, Chaos,
Solitons and Fractals, 23 (2005) 1629–1641
Bin Liu, Xinzhi Liu and Xiaoxin Liao, ``Robust
global exponential stability of uncertain impulsive systems’’, Acta
Math. Sci. Ser. B Engl. Ed. 25
(2005), 161--169.
Ravi P. Agarwal, Donal O’Regan and Xinzhi Liu, `` A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps’’, Fixed Point Theory Appl. 2005, no. 1, 1--10.
Hai-Feng Huo, Wan-Tong Li and Xinzhi Liu, “Existence and global attractivity of positive periodic solution of an impulsive delay differential equation”, Appl. Anal., 83 (2004), 1279--1290.
Renming Wang, Xinzhi Liu, and Zhihong Guan, “Robustness and stability analysis for a class of nonlinear switched systems with impulse effects”, Dynam. Systems Appl,. 13 (2004), 233--248.
Xinzhi Liu and George Ballinger, ``Continuous dependence on initial values for impulsive delay differential equations’’. Appl. Math. Lett. 17 (2004), no. 4, 483--490.
Xinzhi Liu, ``Stability of impulsive control systems with time delay’’. Math. Comput. Modelling 39 (2004), no. 4-5, 511--519.
Xinzhi Liu and Xiaoxin Liao, ``Comparison method and robust stability of large-scale dynamic systems’’. Special issues in honor of Professor Siljak's 70th birthday. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 11 (2004), no. 2-3,413--430.
Bingji Xu, Xinzhi Liu and Xiaoxin Li ao, ``Absolute stability of Lurie systems with impulsive effects’’. Comput. Math. Appl., 47 (2004), no. 2-3, 419--425.
Bin Liu, Xinzhi Liu and Xiaoxin Liao, ``Robust stability of uncertain impulsive dynamical systems’’. J. Math. Anal. Appl., 290 (2004), no. 2, 519--533.
Yansheng Liu and Xinzhi liu, ``On global structure of a class of singular boundary value problems with sublinear effect’’. Nonlinear Funct. Anal. Appl. 9 (2004), no. 1, 57--72.
Anmar Khadra, Xinzhi Liu and Xuemin Shen, ``Application of impulsive synchronization to communication security'', IEEE Trans. Circuits Systems I, 50, (2003), 341-351.
Xinzhi Liu, Xuemin Shen and Yi Zhang, ``Exponential stability of singularly perturbed systems with time delay'', Appl. Anal., 82, (2003), 117-130.
Xinzhi Liu and George Ballinger, ``Boundedness for impulsive delay differential equations and applications to population growth models'', Nonlinear Anal., 53, (2003), 1041-1062.
Bingji Xu, Xinzhi Liu and Xiaoxin Liao, ``Global asymptotic stability of high-order Hopfield type neural networks with time delays’’. Comput. Math. Appl. 45 (2003), no. 10-11,1729—1737.
Bin Liu, Xinzhi Liu and Xiaoxin Liao, ``Robust dissipativity for impulsive dynamical systems'', Mathematical Problems in Engineering, 2003 (2003), no. 3-4, 119--128.
Bin Liu, Xinzhi Liu and Xiaoxin Liao, ``Robust H-stability for Hopfield neural networks with impulsive effects and design of impulsive controller for Hopfield neural networks'' Control Theo. Appl, 20 (2003), no. 5, 667--672.
Xinzhi Liu and George Ballinger, ``Existence and continuability of solutions for differential equations with delays and state-dependent impulses'', Nonlinear Anal., 51, (2002) 633-647.
Xinzhi Liu and Kok Lay Teo, ``Impulsive control of chaotic system'', International J. Bifurcation Chaos, 12, (2002) 1181-1190.
Xinzhi Liu, S. Sivaloganathan and Shenghai Zhang, ``Analysis of cell population PDEs models with general maturation rates'', ANZIAM J., 43, (2002) 359-374.
Xinzhi Liu and Xuemin Shen, ``Impulsive Stabilization and Application to a Population Growth Model'', Nonlinear Dyn. Syst. Theory 2 (2002), no. 2, 173-184
Xilin Fu, Xinzhi Liu and S.Sivaloganathan, ``Oscillation criteria for impulsive parabolic systems'', Appl. Anal., 79, (2001), 239-255.
Xinzhi Liu, Xuemin Shen and Yi Zhang, ``Absolute stability of nonlinear systems with time delays and applications to neural networks'', Mathematical Problems in Engineering, 7, (2001) 413-431.
Xinzhi Liu and Robert Dickson, ``Stability analysis of Hopfield neural networks with uncertainty'', Math. Computer Modelling, 34, (2001) 353-363.
Xinzhi Liu and F.A. McRay,``Monotone iterative method for boundary value problems of parametric differential equations'', JAMSA, 14, (2001) 183-187.
George Ballinger and Xinzhi Liu, ``Uniform asymptotic stability of impulsive delay differential equations'', Computers Math. Appl., 41, (2001) 903-915.
Xinzhi Liu, S. Sivaloganathan and Shenghai Zhang, ``On stability and hypercyclicity for cell population models'', Nonlinear Anal. Real World Appl., 1, (2000) 247-260.
Xinzhi Liu and Jianhua Shen, ``Razumikhin-type theorems on boundedness for impulsive functional differential equations'', Dynamic Systems & Appl., 9, (2000) 389-404.
Saroop K. Kaul and Xinzhi Liu, ``Generalized variation of parameters and stability of impulsive systems, Nonlinear Anal., 40, (2000) 295-307.
George Ballinger and Xinzhi Liu, ``Existence, uniqueness and boundedness results for impulsive delay differential equations'', Appl. Anal., 74, (2000) 71-93.