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

  • Shuai LiEmail author
  • Duyu Liu
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 480)


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.


Switched positive system Homogeneous polynomial copositive Lyapunov function Stability Time-varying delays 



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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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Electrical and Information EngineeringSouthwest Minzu UniversityChengduPeople’s Republic of China

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