Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay

Yanan Jiang, Liangjian Hu, Jianqiu Lu, Wei Mao, Xuerong Mao

Research output: Contribution to journalArticlepeer-review

Abstract

This paper mainly investigates stabilization of hybrid stochastic differential equations(SDEs) via periodically intermittent feedback controls based on discrete-time state observations with a time delay. Firstly, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.
Original languageEnglish
Number of pages26
JournalIET Control Theory and Applications
Publication statusAccepted/In press - 7 Apr 2021

Keywords

  • intermittent stabilization
  • feedback control
  • discrete-time state observations
  • time delay

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