Global stabilization of low-order stochastic nonlinear systems with multiple time-varying delays by a continuous feedback control

作者：

Highlights：

• Time delay is considered in the stabilization of low-order stochastic nonlinear systems.

• A novel nonlinear Lyapunov-Krasovskii functional is skillfully constructed.

• The considered systems are continuous but completely non-differentiable.

• The stochastic stability theory adopted does not require the uniqueness of solution.

摘要

•Time delay is considered in the stabilization of low-order stochastic nonlinear systems.•A novel nonlinear Lyapunov-Krasovskii functional is skillfully constructed.•The considered systems are continuous but completely non-differentiable.•The stochastic stability theory adopted does not require the uniqueness of solution.

论文关键词：Stochastic systems,Low-order nonlinearities,Multiple time-varying delays,Global strong stabilization in probability,Lyapunov-Krasovskii functional

论文评审过程：Received 12 October 2021, Revised 7 March 2022, Accepted 6 May 2022, Available online 14 May 2022, Version of Record 14 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127234