Global exponential stability of certain switched systems with time-varying delays |
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Authors: | Jie Qi Yuangong Sun |
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Affiliation: | 1. School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China;2. School of Automation and Electrical Engineering, University of Jinan, Jinan, Shandong 250022, China |
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Abstract: | This paper is focused on global exponential stability of certain switched systems with time-varying delays. By using an average dwell time (ADT) approach that is different from the method in [P.H.A. Ngoc, On exponential stability of nonlinear differential systems with time-varying delay, Applied Mathematics Letters 25 (2012) 1208–1213], we establish a new global exponential stability criterion for the switched linear time-delay system under the ADT switching. We also apply this method to a general switched nonlinear time-delay system. A numerical example is given to show the effectiveness of our results. |
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Keywords: | Exponential stability Average dwell time Time-varying delays Switched system |
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