Some notes on Input-output Finite-time Stability of Discrete-time Switched Systems

ZHANG Guang-Chen; WANG Wei-Qun; GAO Jing-Bo

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Some notes on Input-output Finite-time Stability of Discrete-time Switched Systems

ZHANG Guang-Chen 1, WANG Wei-Qun 1, GAO Jing-Bo 2

1. Department of Science, Nanjing University of Science and Technology, Nanjing, 210094

2. Department of Science, Nanjing University of Science and Technology, Nanjing, 210094

*Correspondence author

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Funding: Specialized Research Fund for the Doctoral Program of Higher Education（No.20133219110040）

Opened online: 9 May 2017

Accepted by: none

Citation: ZHANG Guang-Chen, WANG Wei-Qun, GAO Jing-Bo.Some notes on Input-output Finite-time Stability of Discrete-time Switched Systems[OL]. [ 9 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4727410

This paper contains a discussion on input-output finite-time stability (I-O FTS) issues related to switched systems featuring arbitrary switching and restricted switching. For switched systems under arbitrary switching, sufficient conditions are separately obtained for input signals $mathcal{W}_2$ and $mathcal{W}_infty$, respectively. The I-O FTS issues for switched systems under restricted switching are then addressed, including cases of switching signals with known instants and average dwell time; corresponding sufficient conditions are proposed via solvable LMIs constraints. To conclude the paper, the effectiveness of the proposed results are illustrated through numerical examples.

Keywords:switched systems, finite-time stability, input-output finite-time stability, known switching instants, arbitrary switching, averagedwell time

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