Quadratic stability of a class of switched nonlinear systems

Jun Zhao*, Georgi M. Dimirovski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

303 Citations (Scopus)

Abstract

Quadratic stability of a class of switched nonlinear systems is studied in this note. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, we derive a necessary and sufficient condition for quadratic stability of this class of switched systems by using Karush-Kuhn-Tucker condition for nonlinear programming problems. The necessary and sufficient condition is given in terms of the strict completeness of a certain set of functions on a subset of the state space, which is much easier to check.

Original languageEnglish
Pages (from-to)574-578
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume49
Issue number4
DOIs
Publication statusPublished - Apr 2004
Externally publishedYes

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