Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays

In this paper, the design of switching rule for exponential stability of a class of uncertain switched systems with delays is studied. The systems to be considered are linear and the state delays are time-varying. Based on Lyapunov functional and average dwell time approach, condition on the derivat...

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Bibliographic Details
Main Authors: T. La-Inchua, P. Niamsup
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886259646&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52738
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Institution: Chiang Mai University
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Summary:In this paper, the design of switching rule for exponential stability of a class of uncertain switched systems with delays is studied. The systems to be considered are linear and the state delays are time-varying. Based on Lyapunov functional and average dwell time approach, condition on the derivative of time-delay functions are not need to design switching rule for the exponential stability of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of LMIs which can be solved easily by various available algorithms. The effectiveness of the proposed method is demonstrated by a simulation example. © 2013 T. La-inchua and P. Niamsup.