Stabilization by intermittent control for hybrid stochastic differential delay equations

Wei Mao, Yanan Jiang, Liangjian Hu, Xuerong Mao

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time τ is bounded by τ ∗. Finally, an example is presented to illustrate our theory.
Original languageEnglish
Number of pages14
JournalDiscrete and Continuous Dynamical Systems - Series B
Publication statusAccepted/In press - 12 Jan 2021

Keywords

  • stabilization
  • intermittent control
  • hybrid stochastic differential delay equations
  • hybrid differential equations
  • delay observations

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