Input-to-state stability and stabilization of impulsive switched nonlinear systems

Dan Liu, Jie Lian, Jun Wang, Dong Wang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, the input-to-state stability and stabilization for a class of impulsive switched nonlinear systems are investigated. Two cases are considered based on whether or not subsystems are input-to-state stable (ISS). For the case that all subsystems are ISS, due to impulsive behaviors at switching instants causing the instability, the average dwell time (ADT) approach is used to obtain sufficient conditions on guaranteeing ISS of the impulsive switched nonlinear systems. While for the case that subsystems are not ISS, the nonlinear controller and switching law are designed simultaneously to stabilize the impulsive switched nonlinear systems and ensure the ISS property. At last, two numerical examples are given to illustrate the effectiveness of the results established.

Original languageEnglish
Title of host publicationProceedings of the 28th Chinese Control and Decision Conference, CCDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2202-2207
Number of pages6
ISBN (Electronic)9781467397148
DOIs
Publication statusPublished - 3 Aug 2016
Externally publishedYes
Event28th Chinese Control and Decision Conference, CCDC 2016 - Yinchuan, China
Duration: 28 May 201630 May 2016

Publication series

NameProceedings of the 28th Chinese Control and Decision Conference, CCDC 2016

Conference

Conference28th Chinese Control and Decision Conference, CCDC 2016
Country/TerritoryChina
CityYinchuan
Period28/05/1630/05/16

Keywords

  • Average Dwell Time
  • Impulsive Switched Systems
  • Input-to-state Stability
  • Multiple Lyapunov Functions

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