Finite-time stabilization of stochastic coupled systems on networks with Markovian switching via feedback control

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

Detail(s)

Original languageEnglish
Article number122797
Journal / PublicationPhysica A: Statistical Mechanics and its Applications
Volume537
Online published23 Sep 2019
Publication statusPublished - 1 Jan 2020

Abstract

This paper is concerned with the finite-time stabilization issue of stochastic coupled systems on networks with Markovian switching via feedback control. The aim of this paper is to design a state feedback controller to stabilize the states of such stochastic coupled systems on networks within finite time. Focusing on the finite-time stabilization issue, this paper utilizes Kirchhoff's Matrix Tree Theorem and Lyapunov method to establish two sufficient criteria. Based on these criteria, the relationship between the time to reach finite-time stabilization and the topology structure of the network can be shown. Furthermore, to verify our theoretical results, an application to a concrete finite-time stabilization problem of stochastic coupled oscillators with Markovian switching is presented. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the proposed results.

Research Area(s)

  • Feedback control, Finite-time stabilization, Kirchhoff's Matrix Tree Theorem, Markovian switching, Stochastic coupled systems