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Browse Journals & Magazines > Automatic Control, IEEE Trans ...> Volume:49 Issue:4 Help

Quadratic stability of a class of switched nonlinear systems

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2 Author(s)
Jun Zhao ; Dept. of Electron. Eng., City Univ. of Hong Kong, Kowloon, China ; Dimirovski, G.M.

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.

Published in:
Automatic Control, IEEE Transactions on  (Volume:49 ,  Issue: 4 )

Date of Publication: April 2004

Page(s):
574 - 578
ISSN :
0018-9286
INSPEC Accession Number:
7942878
Digital Object Identifier :
10.1109/TAC.2004.825611
Product Type:
Journals & Magazines
Date of Current Version :
13 April 2004
Issue Date :
April 2004
Sponsored by :
IEEE Control Systems Society

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