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Stability Analysis of Discrete-Time Switching Positive System with Delays: Homogeneous Polynomial Copositive Lyapunov Function Method

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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 addresses the stability issue of a discrete-time positive switched system with time-varying delays. By means of system’s positivity, we propose a new method, called homogeneous polynomial copositive Lyapunov function method, and then present a stability condition to check whether or not the considered system is stable. An example is provided to illustrate the theoretical results in this paper.

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Acknowledgements

This work was partially supported by National Nature Science Foundation (61673016), Sichuan Youth Science and Technology Innovation Research Team (2017TD0028), the Fundamental Research Funds for the Central Universities, Southwest Minzu University (2018YXXS27).

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Southwest Minzu University, Chengdu, 610041, People’s Republic of China

    Shuai Li & Duyu Liu

Authors
  1. Shuai Li
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  2. Duyu Liu
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Corresponding author

Correspondence to Shuai Li .

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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Li, S., Liu, D. (2019). Stability Analysis of Discrete-Time Switching Positive System with Delays: Homogeneous Polynomial Copositive Lyapunov Function Method. 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_5

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