Finite-time synchronization of stochastic multi-links dynamical networks with Markovian switching topologies

被引：17
作者：
Guo, Ying [1 ]
Chen, Bingdao [2 ]
Wu, Yongbao [2 ]
机构：
[1] Qingdao Univ Technol, Dept Math, Qingdao 266520, Peoples R China
[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 01期
关键词：
NEURAL-NETWORKS; DELAYED SYSTEMS; STABILITY; STABILIZATION;
D O I：
10.1016/j.jfranklin.2019.11.045
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, finite-time synchronization of stochastic multi-links dynamical networks with Markovian switching topologies (SMDNM) via intermittent control is discussed. Different from previous literature, topological structure of multi-links complex networks is Markovian switching and each switching subnetwork is not required to contain a directed spanning tree or to be strongly connected. Meanwhile, a novel quantized aperiodically intermittent control is designed and the coupling function is nonlinear. Based on a new differential inequality and Kirchhoff's Matrix Tree Theorem, a synchronization criterion is derived to ensure finite-time synchronization of SMDNM within a finite time which is closely related to the topology of the network. Moreover, we apply theoretical results to oscillators systems and a synchronization criterion is presented. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed methodology. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：359 / 384
页数：26
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