On stabilization of delayed linear singular systems via impulsive control

Wu-Hua Chen, Wei Xing Zheng, Xiaomei Lu

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

Abstract

![CDATA[This paper is concerned with the stability problem of a class of delayed linear singular systems based on impulsive control. The key idea is to develop two novel Lyapunov methods to effectively deal with two different cases of delays: fast time-varying delay and slow time-vary delay. These Lyapunov methods take good advantage of the hybrid structure characteristics of the impulsively controlled singular systems so as to establish exponential stability of the underlying singular systems. A convex technique is applied to represent the derived stability conditions within the linear matrix inequalities framework, which facilitates design of the desired impulsive controllers. An illustrative example is given to substantiate the efficiency of the developed exponential impulsive stabilization conditions.]]
Original languageEnglish
Title of host publicationProceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 12th - 15th December, 2017, Melbourne, Australia
PublisherIEEE
Pages3003-3008
Number of pages6
ISBN (Print)9781509028733
DOIs
Publication statusPublished - 2017
EventIEEE Conference on Decision and Control -
Duration: 12 Dec 2017 → …

Publication series

Name
ISSN (Print)0743-1546

Conference

ConferenceIEEE Conference on Decision and Control
Period12/12/17 → …

Keywords

  • Lyapunov functions
  • linear matrix inequalities
  • time delay systems

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