具有非线性耦合函数的时变时滞复杂网络的渐近输出同步  

Asymptotic Output Synchronization for Time-varying Delay Complex Dynamical Networks with Nonlinear Coupling Functions

作　　者：胥淞耀 张丽丽[1] XU Songyao;ZHANG Lili(School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou 510520,Guangdong,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：《韶关学院学报》2024年第3期23-30,共8页Journal of Shaoguan University

基　　金：广东省基础与应用基础研究基金(2020A1515010809)。

摘　　要：利用分散自适应输出反馈控制的方法,研究了一类具有不同维数节点、非线性内耦合函数和时变时滞的复杂动态网络的渐近输出同步控制问题.针对网络模型的外部耦合矩阵是时变、非零行和、非对称的情况,设计了有效的分散自适应输出反馈控制器.利用Lyapunov稳定性理论和Barbalat’s引理,证明了网络渐近输出同步的分散输出反馈控制方案的正确性.最后,利用数值仿真实例验证了所提结果的有效性和可行性.The problem of asymptotic output synchronization is investigated for a type of complex dynamic networks with different dimensional nodes,nonlinear internal coupling functions and time-varying delays via decentralized adaptive output feedback control method.For the case that the outer coupling matrix of the network model is time-varying,non-zero row sum and asymmetric,decentralized adaptive output feedback controller is designed to realize the asymptotic output synchronization of network.The correctness of the proposed adaptive output feedback control strategy is proved by the Lyapunov stability theory and the Barbalat’s lemma.Finally,a numerical simulation example is provided to illustrate the effectiveness and feasibility of the proposed theoretical results.

关 键 词：复杂动态网络 渐近输出同步 时变时滞 非线性内耦合函数 不同维数 

分 类 号：O231.2[理学—运筹学与控制论]