Necessary and sufficient conditions of stability for switched nonlinear systems

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Title of host publicationProceedings of the World Congress on Intelligent Control and Automation (WCICA)
PublisherInstitute of Electrical and Electronics Engineers, Inc.
Pages2079-2084
Volume2015-March
Publication statusPublished - 2 Mar 2015

Publication series

Name
Volume2015-March

Conference

Title11th World Congress on Intelligent Control and Automation, WCICA 2014
PlaceChina
CityShenyang
Period29 June - 4 July 2014

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-84932136762&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(22fc0f7d-4eb5-472c-97b7-48e8cce5dd66).html

Abstract

This paper investigates stability/asymptotic stability of switched nonlinear systems with potentially unstable subsystems. At first, switched nonlinear Hamiltonian systems are considered and several necessary and sufficient conditions of stability/asymptotic stability are developed via the maximum energy function based method. Based on the new stability results obtained and the method of Hamiltonian realization, several necessary and sufficient conditions of stability/asymptotic stability are then presented for ordinary switched nonlinear systems with potentially unstable subsystems. A numerical example of an ordinary switched nonlinear system with all unstable subsystems illustrates the effectiveness of the obtained stability results.

Research Area(s)

  • Maximum energy function method, Nonlinear systems, Stability/asymptotic stability, Switched systems

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Publication fingerprints text

100
Necessary and Suffi... Mathematics
100
Nonlinear System Mathematics
75
Asymptotic Stabilit... Mathematics
50
Stability Result Mathematics
25
Numerical Example Mathematics
25
Hamiltonian Systems Mathematics
25
Energy Function Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Necessary and sufficient conditions of stability for switched nonlinear systems. / Zhu, Liying; Feng, Gang.
Proceedings of the World Congress on Intelligent Control and Automation (WCICA). Vol. 2015-March Institute of Electrical and Electronics Engineers, Inc., 2015. p. 2079-2084 7053042.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review