Stability of stochastic nonlinear delay systems with delayed impulses

作者：

Highlights：

• We introduce a class of stochastic delay differential equations with delayed impulses and inputs.

• The input-to-state stability is studied for two cases where the continuous stochastic delay system is stable and unstable.

• Different from the traditional methods, we use the average dwell time and the vector Lyapunov function method.

• Two examples are used to verify the validity of our theory results.

摘要

•We introduce a class of stochastic delay differential equations with delayed impulses and inputs.•The input-to-state stability is studied for two cases where the continuous stochastic delay system is stable and unstable.•Different from the traditional methods, we use the average dwell time and the vector Lyapunov function method.•Two examples are used to verify the validity of our theory results.

论文关键词：Stabilization,Impulses,Delay,Average dwell time,Vector Lyapunov function

论文评审过程：Received 28 July 2021, Revised 29 December 2021, Accepted 12 January 2022, Available online 26 January 2022, Version of Record 26 January 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126950