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Stability analysis for uncertain switched neutral systems with discrete time-varying delay: A delay-dependent method
Authors:Duyu Liu  Shouming Zhong  Xinzhi Liu  Yuanqing Huang
Affiliation:aCollege of Applied Mathematics, University of Electronic Science and Technology of China, China;bDepartment of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada;cDepartment of Computer Science and Applications, Sichuan University of Science and Engineering, China
Abstract:This paper considers the robust stability of a class of switched neutral systems with discrete time-varying delay and time-varying structure. Sufficient conditions for exponential stability criteria are developed for arbitrary switching signal with average dwell time. The results are obtained based on Lyapunov’s stability analysis via Krasovsky–Lyapunov’s functionals and the related stability study is performed to obtain delay-dependent results. It is proved that the stabilizing switching rule is arbitrary if all the switched subsystems are exponentially stabile. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). Some examples are worked out to illustrate the effectiveness of the result.
Keywords:Exponential stability  Robust stability  Switched neutral systems  Time-varying delay  Delay-dependent
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