Robust exponential stability of interconnected switched systems with mixed delays and impulsive effect

被引：0
作者：
Huanbin Xue
Jiye Zhang
机构：
[1] Hanshan Normal University,School of Mathematics and Statistics
[2] Southwest Jiaotong University,State Key Laboratory of Traction Power
来源：
Nonlinear Dynamics | 2019年 / 97卷
关键词：
Arbitrary switching; Average dwell time (ADT); Exponential stability; Interconnected systems; Time delays;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A class of nonlinear switched dynamical systems in the presence of impulsive effect, uncertainties and both variable and continuously distributed delays are investigated. By resorting to M-matrix property, inequality technique and the idea of vector Lyapunov function, several sufficient conditions are derived to check the robust exponential stability of the interconnected switched systems under arbitrary switching. The proposed method does not require that each subsystem shares a common Lyapunov function, nor that the value of suitable Lyapunov function at every switching time is known. Moreover, average dwell time approach is employed to obtain criteria for ensuring the global exponential stability of the system under constrained switching. Finally, two numerical examples are presented to demonstrate the correctness and effectiveness of the main results.
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页码：679 / 696
页数：17
相关论文
共 133 条
  • [1] Kermani M(2017)On the stability analysis of switched nonlinear systems with time varying delay under arbitrary switching J. Syst. Sci. Complex 30 329-346
  • [2] Sakly A(2017)Stability and stabilization of nonlinear switched systems under average dwell time Appl. Math. Comput. 298 77-94
  • [3] Liu L(2017)Adaptive output-feedback control design with prescribed performance for switched nonlinear systems Automatica 80 225-231
  • [4] Zhou Q(2017)Adaptive fuzzy control design for stochastic nonlinear switched systems with arbitrary switchings and unmodeled dynamics IEEE Trans. Cybern. 47 403-414
  • [5] Liang H(2015)Switching stabilization for a class of slowly switched systems IEEE Trans. Automat. Control 60 221-226
  • [6] Wang L(2009)Stability and stabilizability of switched linear systems: a survey of recent results IEEE Trans. Automat. Control 54 308-322
  • [7] Li Y(2007)Stability criteria for switched and hybrid systems SIAM Rev. 49 545-592
  • [8] Tong S(1999)Basic problems in stability and design of switched systems IEEE Control Syst. 19 59-70
  • [9] Liu L(1998)Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Trans. Automat. Control 43 475-482
  • [10] Feng G(2015)Exponential stability analysis and stabilization of switched delay systems J. Franklin Inst. 352 4980-5002
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