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

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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. First, 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
Article number2039-2052
Pages (from-to)2039-2052
Number of pages14
JournalIET Control Theory and Applications
Volume15
Issue number16
Early online date17 Aug 2021
DOIs
Publication statusPublished - 1 Nov 2021

Keywords

  • intermittent stabilization
  • feedback control
  • discrete-time state observations
  • time delay
  • hybrid stochastic differential equations (SDEs)

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