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New Results on Exponential Stability and Passivity Analysis of Delayed Switched Systems with Nonlinear Perturbations

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Abstract

In this paper, we investigate the problem of exponential stability and passivity analysis of a class of switched systems with interval time-varying delays and nonlinear perturbations. By constructing an improved Lyapunov–Krasovskii functional combining with novel refined Jensen-based inequalities, some improved sufficient conditions for exponential stability are proposed for a class of switching signals with average dwell time. Moreover, a new sufficient condition for passivity analysis of switched continuous-time systems with an interval time-varying delay is also derived. These conditions are delay dependent and are given in the form of linear matrix inequalities, which therefore can be efficiently solved by existing convex algorithms. Lastly, four examples are provided to demonstrate the effectiveness of our results.

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Acknowledgements

The author would like to thank the editor(s) and anonymous reviewers for their constructive comments which helped to improve the present paper. This work was partially supported by the Ministry of Education and Training of Vietnam.

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  1. Department of Mathematics and Informatics, Thainguyen University of Sciences, Thainguyen, Vietnam

    Mai Viet Thuan

  2. Department of Mathematics, Quynhon University, Binhdinh, Vietnam

    Dinh Cong Huong

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  1. Mai Viet Thuan
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Correspondence to Mai Viet Thuan.

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Thuan, M.V., Huong, D.C. New Results on Exponential Stability and Passivity Analysis of Delayed Switched Systems with Nonlinear Perturbations. Circuits Syst Signal Process 37, 569–592 (2018). https://doi.org/10.1007/s00034-017-0565-y

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