Global synchronization of general delayed complex networks with stochastic disturbances

doi:10.1088/1674-1056/20/3/030504

中国物理B ›› 2011, Vol. 20 ›› Issue (3): 30504-030504.doi: 10.1088/1674-1056/20/3/030504

Global synchronization of general delayed complex networks with stochastic disturbances

涂俐兰

Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China

收稿日期:2010-05-16 修回日期:2010-09-26 出版日期:2011-03-15 发布日期:2011-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60904060), and the Open Foundation of Hubei Province Key Laboratory of Systems Science in Metallurgical Process, China (Grant No. C201010).

Global synchronization of general delayed complex networks with stochastic disturbances

Tu Li-Lan(涂俐兰)^†

Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China

Received:2010-05-16 Revised:2010-09-26 Online:2011-03-15 Published:2011-03-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60904060), and the Open Foundation of Hubei Province Key Laboratory of Systems Science in Metallurgical Process, China (Grant No. C201010).

摘要/Abstract

摘要： In this paper, global synchronization of general delayed complex networks with stochastic disturbances, which is a zero-mean real scalar Wiener process, is investigated. The networks under consideration are continuous-time networks with time-varying delay. Based on the stochastic Lyapunov stability theory, It?'s differential rule and the linear matrix inequality (LMI) optimization technique, several delay-dependent synchronous criteria are established, which guarantee the asymptotical mean-square synchronization of drive networks and response networks with stochastic disturbances. The criteria are expressed in terms of LMI, which can be easily solved using the Matlab LMI Control Toolbox. Finally, two examples show the effectiveness and feasibility of the proposed synchronous conditions.

Abstract: In this paper, global synchronization of general delayed complex networks with stochastic disturbances, which is a zero-mean real scalar Wiener process, is investigated. The networks under consideration are continuous-time networks with time-varying delay. Based on the stochastic Lyapunov stability theory, ItÔ's differential rule and the linear matrix inequality (LMI) optimization technique, several delay-dependent synchronous criteria are established, which guarantee the asymptotical mean-square synchronization of drive networks and response networks with stochastic disturbances. The criteria are expressed in terms of LMI, which can be easily solved using the Matlab LMI Control Toolbox. Finally, two examples show the effectiveness and feasibility of the proposed synchronous conditions.

Key words: global synchronization, general delayed complex networks with stochastic disturbances, linear matrix inequality, mean-square stability

中图分类号: (Noise)

05.40.Ca

涂俐兰. Global synchronization of general delayed complex networks with stochastic disturbances[J]. 中国物理B, 2011, 20(3): 30504-030504.

Tu Li-Lan(涂俐兰). Global synchronization of general delayed complex networks with stochastic disturbances[J]. Chin. Phys. B, 2011, 20(3): 30504-030504.

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Global synchronization of general delayed complex networks with stochastic disturbances

Global synchronization of general delayed complex networks with stochastic disturbances

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