Recent results on stochastic hybrid dynamical systems

被引：8

作者：

Alwan M.S. ^{[1
]}

Liu X. ^{[1
]}

机构：

[1] Department of Applied Mathematics, University of Waterloo, Waterloo

来源：

Journal of Control and Decision | 2016年 / 3卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

ISS; Lyapunov method; stabilisation; stability; state estimation; stochastic hybrid systems;

D O I：

10.1080/23307706.2016.1143787

中图分类号：

学科分类号：

摘要：

This paper addresses stochastic hybrid systems, particularly switched and impulsive systems. The systems under consideration are linear and non-linear continuous with/without time delay, and with/without external force. The importance of using such systems and the discrepancies between hybrid and non-hybrid systems are presented. The objective of this paper is to survey recent developments on some of the important qualitative properties such as stability, stabilisation, input-to-state stability and state estimation along with the challenges that might arise when taking hybridness into account. These properties are mainly developed by using the direct method of Lyapunov or Lyapunov–Razumikhin if time delay is taken into account. Several examples with simulations are presented to further clarify the results introduced in this paper. © 2016, © 2016 Northeastern University, China.

引用

页码：68 / 103

页数：35

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