Pinning sampled-data synchronization for complex networks with probabilistic coupling delay

doi:10.1088/1674-1056/23/5/050509

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 50509-050509.doi: 10.1088/1674-1056/23/5/050509

Pinning sampled-data synchronization for complex networks with probabilistic coupling delay

王健安, 聂瑞兴, 孙志毅

School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China

收稿日期:2013-08-18 修回日期:2013-11-18 出版日期:2014-05-15 发布日期:2014-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61203049 and 61303020), the Natural Science Foundation of Shanxi Province of China (Grant No. 2013021018-3), and the Doctoral Startup Foundation of Taiyuan University of Science and Technology, China (Grant No. 20112010).

Pinning sampled-data synchronization for complex networks with probabilistic coupling delay

Wang Jian-An (王健安), Nie Rui-Xing (聂瑞兴), Sun Zhi-Yi (孙志毅)

School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China

Received:2013-08-18 Revised:2013-11-18 Online:2014-05-15 Published:2014-05-15
Contact: Wang Jian-An E-mail:wangjianan588@163.com
About author:05.45.Xt; 05.45.Gg
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61203049 and 61303020), the Natural Science Foundation of Shanxi Province of China (Grant No. 2013021018-3), and the Doctoral Startup Foundation of Taiyuan University of Science and Technology, China (Grant No. 20112010).

摘要/Abstract

摘要： We deal with the problem of pinning sampled-data synchronization for a complex network with probabilistic time-varying coupling delay. The sampling period considered here is assumed to be less than a given bound. Without using the Kronecker product, a new synchronization error system is constructed by using the property of the random variable and input delay approach. Based on the Lyapunov theory, a delay-dependent pinning sampled-data synchronization criterion is derived in terms of linear matrix inequalities (LMIs) that can be solved effectively by using MATLAB LMI toolbox. Numerical examples are provided to demonstrate the effectiveness of the proposed scheme.

关键词: complex network, probabilistic time-varying coupling delay, sampled-data synchronization, pinning control

Abstract: We deal with the problem of pinning sampled-data synchronization for a complex network with probabilistic time-varying coupling delay. The sampling period considered here is assumed to be less than a given bound. Without using the Kronecker product, a new synchronization error system is constructed by using the property of the random variable and input delay approach. Based on the Lyapunov theory, a delay-dependent pinning sampled-data synchronization criterion is derived in terms of linear matrix inequalities (LMIs) that can be solved effectively by using MATLAB LMI toolbox. Numerical examples are provided to demonstrate the effectiveness of the proposed scheme.

Key words: complex network, probabilistic time-varying coupling delay, sampled-data synchronization, pinning control

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos)

王健安, 聂瑞兴, 孙志毅. Pinning sampled-data synchronization for complex networks with probabilistic coupling delay[J]. 中国物理B, 2014, 23(5): 50509-050509.

Wang Jian-An (王健安), Nie Rui-Xing (聂瑞兴), Sun Zhi-Yi (孙志毅). Pinning sampled-data synchronization for complex networks with probabilistic coupling delay[J]. Chin. Phys. B, 2014, 23(5): 50509-050509.

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Pinning sampled-data synchronization for complex networks with probabilistic coupling delay

Pinning sampled-data synchronization for complex networks with probabilistic coupling delay

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