Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses

作者：

Highlights：

• The exponential stability of a class of continuous-time impulsive switched positive nonlinear systems (ISPNSs) with asynchronous impulses is studied for the first time.

• With the help of multiple max-separable Lyapunov method and modedependent average impulsive interval approach, some sufficient conditions are provided to cope with the exponential stability for ISPNSs with average dwell time (ADT) switching, where the hybrid effects of stabilizing impulses and destabilizing impulses are taken into account.

• The considered systems are possibly composed of all unstable subsystems.

摘要

•The exponential stability of a class of continuous-time impulsive switched positive nonlinear systems (ISPNSs) with asynchronous impulses is studied for the first time.•With the help of multiple max-separable Lyapunov method and modedependent average impulsive interval approach, some sufficient conditions are provided to cope with the exponential stability for ISPNSs with average dwell time (ADT) switching, where the hybrid effects of stabilizing impulses and destabilizing impulses are taken into account.•The considered systems are possibly composed of all unstable subsystems.

论文关键词：Impulsive systems,Switched positive systems,Mode-dependent average impulsive interval

论文评审过程：Received 12 April 2022, Revised 19 July 2022, Accepted 28 August 2022, Available online 7 September 2022, Version of Record 7 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127515