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

Yongbao Wu, Haihua Guo and Wenxue Li

Physica A: Statistical Mechanics and its Applications, 2020, vol. 537, issue C

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.

Keywords: Finite-time stabilization; Stochastic coupled systems; Kirchhoff’s Matrix Tree Theorem; Markovian switching; Feedback control (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119315869

DOI: 10.1016/j.physa.2019.122797

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