中国物理B ›› 2016, Vol. 25 ›› Issue (3): 38901-038901.doi: 10.1088/1674-1056/25/3/038901

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

Successive lag synchronization on dynamical networks with communication delay

Xin-Jian Zhang(张新建), Ai-Ju Wei(韦爱举), Ke-Zan Li(李科赞)   

  1. School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin 541004, China
  • 收稿日期:2015-05-29 修回日期:2015-09-20 出版日期:2016-03-05 发布日期:2016-03-05
  • 通讯作者: Ke-Zan Li E-mail:kezanli@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61004101), the Natural Science Foundation Program of Guangxi Province, China (Grant No. 2015GXNSFBB139002), the Graduate Innovation Project of Guilin University of Electronic Technology, China (Grant No. GDYCSZ201472), and the Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, China.

Successive lag synchronization on dynamical networks with communication delay

Xin-Jian Zhang(张新建), Ai-Ju Wei(韦爱举), Ke-Zan Li(李科赞)   

  1. School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin 541004, China
  • Received:2015-05-29 Revised:2015-09-20 Online:2016-03-05 Published:2016-03-05
  • Contact: Ke-Zan Li E-mail:kezanli@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61004101), the Natural Science Foundation Program of Guangxi Province, China (Grant No. 2015GXNSFBB139002), the Graduate Innovation Project of Guilin University of Electronic Technology, China (Grant No. GDYCSZ201472), and the Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, China.

摘要: In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems.

关键词: successive lag synchronization, dynamical network, communication delay, feedback control

Abstract: In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems.

Key words: successive lag synchronization, dynamical network, communication delay, feedback control

中图分类号:  (Networks and genealogical trees)

  • 89.75.Hc
05.45.Xt (Synchronization; coupled oscillators) 89.75.-k (Complex systems)