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Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems

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Abstract

In this paper, problems covering finite-time stability and boundedness of switched systems with finite-time unstable subsystems are researched through the method of multi-Lyapunov function. On basis of the mode-dependent average dwell time method, the systems are required to meet the standards of remaining finite-time stable and finite-time bounded through the practice of designing the switching signal for finite-time stable and unstable subsystems respectively. Finally, stabilization conditions for switched linear systems based on linear matrix inequalities are presented to guarantee the finite-time stability of the closed-loop system. Numerical examples are put forward attempting to verify the efficiency through different methodologies.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 61603188, 61573007).

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Authors and Affiliations

  1. Nanjing University of Science and Technology, Nanjing, China

    Jialin Tan, Weiqun Wang & Juan Yao

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  1. Jialin Tan
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  2. Weiqun Wang
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  3. Juan Yao
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Correspondence to Jialin Tan.

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Tan, J., Wang, W. & Yao, J. Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems. Circuits Syst Signal Process 38, 2931–2950 (2019). https://doi.org/10.1007/s00034-018-1001-7

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  • DOI: https://doi.org/10.1007/s00034-018-1001-7

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