FINITE-TIME SYNCHRONIZATION FOR COUPLED SYSTEMS WITH TIME DELAY AND STOCHASTIC DISTURBANCE UNDER FEEDBACK CONTROL

Yao Xu; Rong Shen; Wenxue Li

doi:10.11948/20180051

2020 Volume 10 Issue 1

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Yao Xu, Rong Shen, Wenxue Li. FINITE-TIME SYNCHRONIZATION FOR COUPLED SYSTEMS WITH TIME DELAY AND STOCHASTIC DISTURBANCE UNDER FEEDBACK CONTROL[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 1-24. doi: 10.11948/20180051

Citation:

Yao Xu, Rong Shen, Wenxue Li. FINITE-TIME SYNCHRONIZATION FOR COUPLED SYSTEMS WITH TIME DELAY AND STOCHASTIC DISTURBANCE UNDER FEEDBACK CONTROL[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 1-24. doi: 10.11948/20180051

FINITE-TIME SYNCHRONIZATION FOR COUPLED SYSTEMS WITH TIME DELAY AND STOCHASTIC DISTURBANCE UNDER FEEDBACK CONTROL

1.
Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai, 264209, China

Corresponding author: Email address: wenxue810823@163.com, wenxuetg@hitwh.edu.cn (W. Li)

Abstract

Abstract

This paper proposes a framework for finite-time synchronization of coupled systems with time delay and stochastic disturbance under feedback control. Combining Kirchhoff's Matrix Tree Theorem with Lyapunov method as well as stochastic analysis techniques, several sufficient conditions are derived. Differing from previous references, the finite time provided by us is related to topological structure of networks. In addition, two concrete applications about stochastic coupled oscillators with time delay and stochastic Lorenz chaotic coupled systems with time delay are presented, respectively. Besides, two synchronization criteria are provided. Ultimately, two numerical examples are given to illustrate the effectiveness and feasibility of the obtained results.
- Finite-time synchronization /
- stochastic coupled systems /
- feedback control /
- time delay
MSC: 34D06, 93B52, 93E15

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References

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