Mean square exponential synchronization in Lagrange sense for uncertain complex dynamical networks

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• 作者：Wuneng Zhou^a ; ^b ; Tianbo Wang^a ; ^c ; ^{tb_wang@163.com} ; Jinping Mou^a ; Jian'an Fang^a
• 刊名：Journal of The Franklin Institute
• 出版年：2012
• 期刊代码：110_00160032
• 类别：et
• 出版时间：April, 2012
• 卷：349
• 期：3
• 页码：1267-1282
• 文件大小：841 K

摘要

In this paper, the problem of the mean square exponential synchronization in Lagrange sense for the uncertain complex network is investigated. A complex network usually appears some uncertain phenomena, which includes varying topology structure, destroyed nodes, and the noise disturbance from circumstance. Based on the Lyapunov stability theory and the Kronecker product analysis technique, some conditions to guarantee the complex network mean square exponential synchronization in Lagrange sense are provided. Finally, two numerical examples are provided to illustrate the effectiveness of the method proposed.