含未知结构的多重连接网络的渐近广义同步  

Asymptotic generalized synchronization of multi-linked networks with uncertain structures

作　　者：陈莉 张丽丽[1] 雷友发 CHEN Li;ZHANG Lili;LEI Youfa(School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou 510520,China;College of Mathematics and Data Science,Zhongkai University of Agriculture and Engineering,Guangzhou 510225,China)

机构地区：[1]广东工业大学数学与统计学院,广东广州510520 [2]仲恺农业工程学院数学与数据科学学院,广东广州510225

出　　处：《仲恺农业工程学院学报》2023年第2期31-38,共8页Journal of Zhongkai University of Agriculture and Engineering

基　　金：广东省自然科学基金(2020A1515010809).

摘　　要：利用分散时滞依赖控制的方法,研究了一类具有不同维数部分相似节点、未知结构、不确定扰动和时变时滞的多重连接网络的渐近广义同步控制问题.针对外耦合连接权值不确定且其界也是未知的情况,设计了分散时滞依赖控制器和参数更新律.利用Lyapunov稳定性理论和Barbalat s引理,严格证明了网络渐近广义同步的分散时滞依赖控制方案的正确性.最后,利用数值仿真实例验证了所提结果的有效性和正确性.The problem of asymptotic generalized synchronization is investigated for a type of multi-linked networks with different dimensional partial similar nodes,uncertain structures,uncertain disturbance and time-varying delays via the decentralized delay-dependent control method.For the case that the outer coupling link weight in the network is uncertain and its bound is also unknown in advance,decentralized delay-dependent controllers and parameter update laws are designed to realize the asymptotic generalized synchronization of our multi-linked networks.The correctness of the proposed decentralized delay-dependent control strategy is proved by the Lyapunov stability theory and the Barbalat s lemma.Finally,a numerical example is provided to illustrate the effectiveness and correctness of the proposed theoretical result.

关 键 词：多重连接网络 渐近广义同步 分散时滞依赖控制 未知结构 部分相似性 

分 类 号：O193[理学—数学]