Synchronization of Markovian jumping complex networks with event-triggered control

This paper investigates event-triggered synchronization for complex networks with Markovian jumping parameters.Nonlinear dynamics with Markovian jumping parameters is considered for each node in a complex network. By utilizing the proposed event-triggered strategy, and based on the Lyapunov function...

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Bibliographic Details
Published inChinese physics B Vol. 24; no. 9; pp. 595 - 602
Main Author 邵浩宇 胡爱花 刘丹
Format Journal Article
LanguageEnglish
Published 01.09.2015
Subjects
Jumping
Markov processes
Mathematical models
Networks
Nonlinear dynamics
Strategy
Synchronism
Synchronization
事件触发
同步问题
复杂网络
线性矩阵不等式
触发控制
跳跃
非线性动力学模型
马尔可夫过程
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/24/9/098902

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Summary:This paper investigates event-triggered synchronization for complex networks with Markovian jumping parameters.Nonlinear dynamics with Markovian jumping parameters is considered for each node in a complex network. By utilizing the proposed event-triggered strategy, and based on the Lyapunov functional method and linear matrix inequality technology,some sufficient conditions for synchronization of complex networks are derived whether the transition rate matrix for the Markov process is completely known or not. Finally, a numerical example is presented to illustrate the effectiveness of the proposed theoretical results.
Bibliography:11-5639/O4
complex networks,synchronization,event-triggered control,Markovian jumping parameters
This paper investigates event-triggered synchronization for complex networks with Markovian jumping parameters.Nonlinear dynamics with Markovian jumping parameters is considered for each node in a complex network. By utilizing the proposed event-triggered strategy, and based on the Lyapunov functional method and linear matrix inequality technology,some sufficient conditions for synchronization of complex networks are derived whether the transition rate matrix for the Markov process is completely known or not. Finally, a numerical example is presented to illustrate the effectiveness of the proposed theoretical results.
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/24/9/098902