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Quadratic Stability of a Class of Switched Nonlinear Systems

Zhao, Jun; Dimirovski, Georgi


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...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: IEEE Transactions on Automatic Control
DOI: 10.1109/TAC.2004.825611


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