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