Browsing Waterloo Research by Author "Liu, Xinzhi"
Now showing items 1-7 of 7
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Bifurcation analysis and application for impulsive systems with delayed impulses
Church, Kevin E.M.; Liu, Xinzhi (World Scientific, 2017-11)In this article, we present a systematic approach to bifurcation analysis of impulsive systems with autonomous or periodic right-hand sides that may exhibit delayed impulse terms. Methods include Lyapunov–Schmidt reduction ... -
Bifurcation of Bounded Solutions of Impulsive Differential Equations
Church, Kevin E. M.; Liu, Xinzhi (World Scientific Publishing, 2016-12-30)In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction applied to the linearization of a particular ... -
Impulsive observer design for a class of switched nonlinear systems with unknown inputs
Zhan, Tao; Ma, Shuping; Liu, Xinzhi; Chen, Hao (Elsevier, 2019-08)This paper investigates hybrid observer design of a class of unknown input switched nonlinear systems. The distinguishing feature of the proposed method is that the stability of all subsystems of the error switched systems ... -
Smooth centre manifolds for impulsive delay differential equations
Church, Kevin E. M.; Liu, Xinzhi (Elsevier, 2018-04-16)The existence and smoothness of centre manifolds and a reduction principle are proven for impulsive delay differential equations. Several intermediate results of theoretical interest are developed, including a variation ... -
Stability analysis by contraction principle for impulsive systems with infinite delays
Liu, Xinzhi; Ramirez, Cesar (Elsevier, 2020-03)This paper studies a class of quasi-linear impulsive systems of functional differential equations with infinite time delay. By employing the contraction principle, several criteria on uniform stability and asymptotic ... -
Stochastic synchronization of semi-Markovian jump chaotic Lur’e systems with packet dropouts subject to multiple sampling periods
Li, Qian; Liu, Xinzhi; Zhu, Qingxin; Zhong, Shouming; Cheng, Jun (Elsevier, 2019-09)This paper is concerned with the problem of stochastic synchronization for semi-Markovian jump chaotic Lur’e systems. Firstly, packet dropouts and multiple sampling periods are both considered. By input-delay approach and ... -
Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control
Xie, Xiang; Liu, Xinzhi; Xu, Honglei; Luo, Xiaobing; Liu, Genfan (Elsevier, 2019-12)This paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken ...