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Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties

  • Guangxi University

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

32 Citations (Scopus)

Abstract

The problems of robust stabilization and H control for uncertain discrete-time Markovian jump linear systems with mode-dependent input time-delays are investigated in this paper. The descriptor system approach is employed to establish sufficient conditions for robust stabilization and the existence of H delayed state feedback controller via a properly constructed stochastic Lyapunov functional. The derived sufficient conditions, which are expressed in the form of linear matrix inequalities, turn out to be simple. Moreover, these conditions are easily solvable by using some existing software packages. One numerical example is presented to illustrate the usefulness of the theoretical results.

Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3054-3059
Number of pages6
ISBN (Print)1424414989, 9781424414987
DOIs
Publication statusPublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: 12 Dec 200714 Dec 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA
Period12/12/0714/12/07

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