Stabilization in general decay rate of discrete feedback control for non-autonomous Markov jump stochastic systems

作者：

Highlights：

• The stabilization theory for autonomous MJ-SDSs with high nonlinearity has been triumphantly developed to that for non-autonomous ones.

• The feedback control, originated from discrete observations of system state and system mode, has been successfully designed to stabilize an unstable non-autonomous MJ-SDS.

• Except for the H∞ stabilization and exponential stabilization, the feedback control can play the roles of polynomial stabilization and even general stabilization.

摘要

•The stabilization theory for autonomous MJ-SDSs with high nonlinearity has been triumphantly developed to that for non-autonomous ones.•The feedback control, originated from discrete observations of system state and system mode, has been successfully designed to stabilize an unstable non-autonomous MJ-SDS.•Except for the H∞ stabilization and exponential stabilization, the feedback control can play the roles of polynomial stabilization and even general stabilization.

论文关键词：Markov jump stochastic systems,Discrete feedback control,Stabilization in general decay rate

论文评审过程：Received 13 April 2021, Revised 21 July 2021, Accepted 1 November 2021, Available online 20 November 2021, Version of Record 20 November 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126771