Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay

Chunhui Mei, Chen Fei, Weiyin Fei, Xuerong Mao

Research output: Contribution to journalArticlepeer-review

Abstract

Given an unstable hybrid stochastic functional differential equation, how to design a delay feedback controller to make it stable? Some results have been obtained for hybrid systems with finite delay. However, the state of many stochastic differential equations are related to the whole history of the system, so it is necessary to discuss the feedback control of stochastic functional differential equations with infinite delay. On the other hand, in many practical stochastic models, the coefficients of these systems do not satisfy the linear growth condition, but are highly nonlinear. In this paper, the delay feedback controls are designed for a class of infinite delay stochastic systems with highly nonlinear and the influence of switching state.
Original languageEnglish
Article number101026
Number of pages17
JournalNonlinear Analysis: Hybrid Systems
Volume40
Early online date27 Feb 2021
DOIs
Publication statusE-pub ahead of print - 27 Feb 2021

Keywords

  • infinite delay
  • Markovian switching
  • M-matrix
  • highly nonlinear
  • delay feedback control

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