Finite-time synchronization of Markovian jump complex networks with generally uncertain transition rates

被引：8

作者：

Xu, Ruiping ^{[1
]}

Kao, Yonggui ^{[2
]}

Gao, Mingmei ^{[1
]}

机构：

[1] Qingdao Univ, Coll Math, Ningxia Rd 308, Qingdao 266071, Peoples R China

[2] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2017年 / 39卷 / 01期

关键词：

Finite-time synchronization; generally uncertain transition rates; Kronecker product; Markovian jump complex networks; PERIODICALLY INTERMITTENT CONTROL; COUPLED NEURAL-NETWORKS; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; PINNING CONTROL; ADAPTIVE SYNCHRONIZATION; GLOBAL SYNCHRONIZATION; CHAOTIC SYSTEMS; DELAY; PROBABILITIES;

D O I：

10.1177/0142331215600046

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 for a class of Markovian jump complex networks (MJCNs) with generally uncertain transition rates (GUTRs) is considered. In this GUTR network model, each transition rate can be completely unknown or only its estimate value is known. This new uncertain model is more general than partly unknown transition rates (PUTRs). By constructing a suitable stochastic Lyapunov-Krasovskii function, using finite-time stability theorem and pinning control approaches, a sufficient finite-time synchronization criterion is derived in term of linear matrix inequalities (LMIs), which is easy to solve with the help of the LMI toolbox in Matlab. Finally, theoretical results are supported by numerical simulations.

引用

页码：52 / 60

页数：9

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