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Stability and L2-gain analysis for switched neutral systems with mixed time-varying delays
Authors:Tai-Fang Li  Jun Zhao  Georgi M Dimirovski
Institution:a College of Information Science and Engineering, Northeastern University, Shenyang 110819, P.R. China
b State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, P.R. China
c School of Engineering, Dogus University, Kadikoy, TR-34722, Istanbul, Republic of Turkey
d Faculty of Electrical and Information Engineering, SS Cyril & Methodius University, MKD-1000 Skopje, Republic of Macedonia
Abstract:This paper considers the stability and L2-gain for a class of switched neutral systems with time-varying discrete and neutral delays. Some new delay-dependent sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are formulated in terms of linear matrix inequalities (LMIs) and are derived by employing free weighting matrices method. As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results.
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