具有不确定非线性函数和不同维数节点的时变复杂网络的输出同步  

Output synchronization for time-varying complex dynamical networks with uncertain nonlinear functions and different dimensional nodes

作　　者：胥淞耀 张丽丽[1] XU Songyao;ZHANG Lili(School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou 510520,China)

机构地区：[1]广东工业大学数学与统计学院,广东广州510520

出　　处：《仲恺农业工程学院学报》2024年第4期30-36,共7页Journal of Zhongkai University of Agriculture and Engineering

基　　金：广东省基础与应用基础研究基金(2020A1515010809).

摘　　要：利用分散输出反馈控制的方法,研究了一类具有不确定非线性函数和不同维数节点的时变复杂动态网络的输出同步问题.不同于现有文献中关于输出同步的模型,文中网络模型考虑了每个节点不可避免的未知不确定非线性函数,且模型中的外耦合矩阵允许是时变的、非零行和的、不确定的、不对称的,这能更好地描述实际网络.给出了网络渐近输出同步的定义.利用Lyapunov稳定性理论和Barbalat s引理,严格证明了为实现网络渐近输出同步而提出的分散输出反馈控制方案的正确性.最后,数值仿真验证了理论结果的有效性.The output synchronization was investigated for a kind of time-varying complex dynamical networks with uncertain nonlinear functions and different dimensional nodes by the method of decentralized output feedback control.The inevitable uncertain nonlinear function in each node was considered into our network model,which is different from other network models in the existing literature on the output synchronization.Besides,in our network model,the outer coupling matrix was allowed to be time-varying,non-zero row sum,uncertain and asymmetric.Thus,the network model can better describe the actual networks.The definition of the asymptotic output synchronization was introduced for our network.In addition,to realize the output synchronization of our network,a decentralized output feedback control strategy was proposed and the correctness of the strategy was strictly proved by the Lyapunov stability theory and Barbalat s lemma.Finally,the effectiveness of the theoretical result was verified by numerical simulations.

关 键 词：复杂动态网络 渐近输出同步 不确定非线性函数 不同维数 时变耦合 

分 类 号：O193[理学—数学]