Input-to-state stability of the nonlinear singular systems via small-gain theorem

作者：

Highlights：

• The new EaU conditions of solutions for NSSs are obtained and is the basis of the analysis ISS property.

• The condition of ISS property for the NSSs is given and a method for constructing ISS-Lyapunov function of NSSs is proposed.

• Trajectory-based small-gain theorem of the interconnected NSSs is presented for the first time and related proof methods are given.

摘要

•The new EaU conditions of solutions for NSSs are obtained and is the basis of the analysis ISS property.•The condition of ISS property for the NSSs is given and a method for constructing ISS-Lyapunov function of NSSs is proposed.•Trajectory-based small-gain theorem of the interconnected NSSs is presented for the first time and related proof methods are given.

论文关键词：Input-to-state stability,Nonlinear singular systems,Input-to-state practical stability,Small-gain theorem

论文评审过程：Received 10 October 2020, Revised 22 February 2021, Accepted 6 March 2021, Available online 17 March 2021, Version of Record 17 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126171