Necessary and sufficient conditions for stability of switched nonlinear systems

Liying Zhu; Gang Feng

doi:10.1016/j.jfranklin.2014.10.011

Author(s)

Liying Zhu
Gang Feng

Detail(s)

Original language	English
Pages (from-to)	117-137
Journal / Publication	Journal of the Franklin Institute
Volume	352
Issue number	1
Publication status	Published - 1 Jan 2015

Link(s)

DOI	DOI https://doi.org/10.1016/j.jfranklin.2014.10.011 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84919362591&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(8cc62440-948b-4f5a-8243-6839199da3d4).html

Abstract

This paper investigates stability/asymptotic stability of switched nonlinear systems with potentially unstable subsystems. At first, switched nonlinear Hamiltonian-type 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 and its simulations illustrate the effectiveness of the obtained stability results.

Citation Format(s)

[ RIS ] [ BibTeX ]

Necessary and sufficient conditions for stability of switched nonlinear systems. / Zhu, Liying; Feng, Gang.
In: Journal of the Franklin Institute, Vol. 352, No. 1, 01.01.2015, p. 117-137.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Zhu, L & Feng, G 2015, 'Necessary and sufficient conditions for stability of switched nonlinear systems', Journal of the Franklin Institute, vol. 352, no. 1, pp. 117-137. https://doi.org/10.1016/j.jfranklin.2014.10.011

Zhu, L., & Feng, G. (2015). Necessary and sufficient conditions for stability of switched nonlinear systems. Journal of the Franklin Institute, 352(1), 117-137. https://doi.org/10.1016/j.jfranklin.2014.10.011

Zhu L, Feng G. Necessary and sufficient conditions for stability of switched nonlinear systems. Journal of the Franklin Institute. 2015 Jan 1;352(1):117-137. doi: 10.1016/j.jfranklin.2014.10.011

Zhu, Liying ; Feng, Gang. / Necessary and sufficient conditions for stability of switched nonlinear systems. In: Journal of the Franklin Institute. 2015 ; Vol. 352, No. 1. pp. 117-137.