Stabilization in distribution by delay feedback controls for hybrid stochastic delay differential equations

Yuyuan Li, Surong You, Jianqiu Lu, Yanan Jiang, Liangjian Hu, Xuerong Mao

Research output: Contribution to journalArticlepeer-review

Abstract

This article aims to design a linear delay feedback control to stabilize an unstable
hybrid stochastic delay differential equation in distribution. Under the global Lip-
schitz condition, sufficient criteria are established to guarantee the stability of the
controlled system. Then LMI techniques are employed to design the control law in
two structure forms: state feedback and output injection.
Original languageEnglish
Number of pages24
JournalInternational Journal of Systems Science
Publication statusAccepted/In press - 11 Dec 2022

Keywords

  • Brownian motion
  • Markovian switching
  • delay feedback control
  • stability in distribution
  • stochastic delay
  • differential equation

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