Robust stability of a class of uncertain Lur'e systems of neutral type

This paper deals with the problem of stability for a class of Lur'e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur&#...

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Bibliographic Details
Main Authors: Weera W., Niamsup P.
Format: Article
Published: Hindawi Publishing Corporation 2015
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Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872810885&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38677
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Institution: Chiang Mai University
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Summary:This paper deals with the problem of stability for a class of Lur'e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur'e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, we establish some stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results. © 2012 W. Weera and P. Niamsup.