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Stability of Discrete-time Switched Positive Linear Systems with Mode-dependent Average Dwell Time

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Positive Systems (POSTA 2018)

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 480))

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Abstract

This paper concerns the problem of stability for the discrete-time switched positive linear systems with mode-dependent average dwell time. By proposing a novel multiple discontinuous co-positive Lyapunov function approach, the conditions of stability are established for such system based on linear programming. Compared with the existing work, it turns out that our proposed approach produces less conservative results because of providing smaller bounds on the dwell time. A numerical example is given to show the effectiveness of our approach.

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Author information

Authors and Affiliations

  1. School of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Li-Juan Liu, Xudong Zhao & Xi-Ming Sun

  2. School of Software, Dalian Jiaotong University, Dalian, 116052, People’s Republic of China

    Li-Juan Liu

Authors
  1. Li-Juan Liu
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  2. Xudong Zhao
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  3. Xi-Ming Sun
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Corresponding author

Correspondence to Xudong Zhao .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, Hong Kong

    James Lam

  2. Hangzhou Dianzi University, Hangzhou, China

    Yun Chen

  3. Southwest Minzu University, Chengdu, China

    Xingwen Liu

  4. Dalian University of Technology, Dalian, China

    Xudong Zhao

  5. Hangzhou Dianzi University, Hangzhou, China

    Junfeng Zhang

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Liu, LJ., Zhao, X., Sun, XM. (2019). Stability of Discrete-time Switched Positive Linear Systems with Mode-dependent Average Dwell Time. In: Lam, J., Chen, Y., Liu, X., Zhao, X., Zhang, J. (eds) Positive Systems . POSTA 2018. Lecture Notes in Control and Information Sciences, vol 480. Springer, Cham. https://doi.org/10.1007/978-3-030-04327-8_1

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