Synchronization for two delayed bi-directionally coupled networks with noise perturbation via adaptive couplings
会议名称：《第24届中国控制与决策会议》
会议日期：2012年
学科分类：11[军事学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 110503[军事学-军事通信学] 071101[理学-系统理论] 0711[理学-系统科学] 0810[工学-信息与通信工程] 1105[军事学-军队指挥学] 081002[工学-信号与信息处理] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学]
基 金：supported by National Nature Science Foundation of China(No. 71073071, 71073072) Social Science Foundation of Ministry of Education (No. 09YJA790088) Key Program of Social Science Foundation of Jiangsu Provincial Department of Education (No. 2010-2-10)
关 键 词：Network Bi-directionally Coupling Noise Perturbation Adaptive Coupling
摘 要：Noise perturbation and time delay are ubiquitous in both natural and man-made systems, and must be taken into consideration in the design of synchronization. For solving the synchronization problem between two delayed bi-directionally coupled networks with noise perturbation, a synchronization criteria based on adaptive coupling was firstly presented in this paper. Based on LaSalle-type invariance principle for stochastic differential delay equations, the adaptive update laws of the coupling strengths are obtained to realize the synchronization. And the configuration matrices of the networks are not required to be symmetric and irreducible. Numerical simulations are given to show the correctness and effectiveness of theoretical results.