Stabilization and destabilization of hybrid systems by periodic stochastic controls

Xiaoyue Li, Wei Liu, Xuerong Mao, Junsheng Zhao

Research output: Contribution to journalArticlepeer-review

Abstract

This paper aims to determine whether or not a periodic stochastic feedback control can stabilize or destabilize a given nonlinear hybrid system. New methods are developed and sufficient conditions on the stability and instability for hybrid nonlinear systems with periodic stochastic perturbations are provided. These results are then used to examine stabilization and destabilization by periodic stochastic feedback controls, including intermittent stochastic controls.
Original languageEnglish
JournalSystems and Control Letters
Publication statusAccepted/In press - 4 Apr 2021

Keywords

  • nonlinear hybrid differential equation
  • periodic stochastic control
  • Brownian motion
  • Markov chain
  • stationary distribution
  • stabilization

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