中国物理B ›› 2015, Vol. 24 ›› Issue (9): 98902-098902.doi: 10.1088/1674-1056/24/9/098902

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Synchronization of Markovian jumping complex networks with event-triggered control

邵浩宇, 胡爱花, 刘丹   

  1. School of Science, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2015-01-09 修回日期:2015-04-02 出版日期:2015-09-05 发布日期:2015-09-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11202084).

Synchronization of Markovian jumping complex networks with event-triggered control

Shao Hao-Yu (邵浩宇), Hu Ai-Hua (胡爱花), Liu Dan (刘丹)   

  1. School of Science, Jiangnan University, Wuxi 214122, China
  • Received:2015-01-09 Revised:2015-04-02 Online:2015-09-05 Published:2015-09-05
  • Contact: Hu Ai-Hua E-mail:aihuahu@126.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11202084).

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摘要： 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.

关键词: complex networks, synchronization, event-triggered control, Markovian jumping parameters

Abstract: 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.

Key words: complex networks, synchronization, event-triggered control, Markovian jumping parameters

中图分类号:  (Structures and organization in complex systems)

  • 89.75.Fb
05.45.Xt (Synchronization; coupled oscillators) 02.30.Yy (Control theory) 02.50.Ga (Markov processes)