Practical stability of switched homogeneous positive nonlinear systems: Max-separable Lyapunov function method

作者：

Highlights：

• Stability criteria are presented by using the max-separable Lyapunov function (MSLF) approach, such that each solution of SHPNS is practically stable.

• The distinction between the existing results and the obtained results is that ours are not only relatively concise but also easily verifiable.

• The theoretical results are also extended to time-varying switched systems that aren’t restricted to be positive.

摘要

•Stability criteria are presented by using the max-separable Lyapunov function (MSLF) approach, such that each solution of SHPNS is practically stable.•The distinction between the existing results and the obtained results is that ours are not only relatively concise but also easily verifiable.•The theoretical results are also extended to time-varying switched systems that aren’t restricted to be positive.

论文关键词：Practical stability,Switched homogeneous positive systems,Max-separable Lyapunov function,Average dwell time

论文评审过程：Received 9 February 2022, Revised 28 March 2022, Accepted 19 April 2022, Available online 28 April 2022, Version of Record 28 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127190