New stability criterion for linear switched systems with time-varying delay

This paper studies the stability problem of a class of linear switched systems with time-varying delay in the sense of Hurwitz convex combination. By designing a parameter-dependent switching law and using a new convex combination technique to deal with delay terms, a new stability criterion is esta...

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Bibliographic Details
Main Authors: Zhu, Xun-Lin, Yang, Hongyong, Wang, Youyi, Wang, Yu-Long
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/102629
http://hdl.handle.net/10220/16870
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Institution: Nanyang Technological University
Language: English
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Summary:This paper studies the stability problem of a class of linear switched systems with time-varying delay in the sense of Hurwitz convex combination. By designing a parameter-dependent switching law and using a new convex combination technique to deal with delay terms, a new stability criterion is established in terms of LMIs, which is dependent on the parameters of Hurwitz convex combination. The advantage of the new criterion lies in its less conservatism and simplicity. Numerical examples are given to illustrate the effectiveness and the less conservatism of the proposed method.