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 › peer-review
Author(s)
Detail(s)
Original language | English |
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Article number | 122797 |
Journal / Publication | Physica A: Statistical Mechanics and its Applications |
Volume | 537 |
Online published | 23 Sep 2019 |
Publication status | Published - 1 Jan 2020 |
Link(s)
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
Citation Format(s)
Finite-time stabilization of stochastic coupled systems on networks with Markovian switching via feedback control. / Wu, Yongbao; Guo, Haihua; Li, Wenxue.
In: Physica A: Statistical Mechanics and its Applications, Vol. 537, 122797, 01.01.2020.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review