基于自适应牵制控制的中立型复杂网络渐近同步  

The Asymptotic Synchronization of Neutral Complex Networks with Adaptive Pinning Control

作　　者：时慧 童东兵 SHI Hui;TONG Dongbing(School of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学机械与汽车工程学院,上海201620

出　　处：《电子科技》2021年第9期12-16,共5页Electronic Science and Technology

基　　金：国家自然科学基金(61673257,11501367);中国博士后科学基金面上项目(2019M661322)。

摘　　要：针对控制节点未知的中立型耦合复杂网络渐近同步问题,文中设计了更符合工程应用的自适应牵制控制器,并给出了自适应更新律的设计依据。根据广义Itö公式、线性矩阵不等式和Lyapunov稳定性理论,给出了中立型耦合复杂网络渐近同步的充分条件。通过数值仿真,计算出同步所需最少牵制节点数,进一步验证了所得渐近同步准则的有效性。For the asymptotic synchronization problem of neutral coupled complex networks with unknown control nodes,an adaptive pinning controller which is more suitable to engineering applications is designed,and the design basis of the adaptive update law is provided in the present study.According to the generalized Itöformula,linear matrix inequality and Lyapunov stability theory,the sufficient conditions for asymptotic synchronization of neutral coupled complex networks are given.Through a numerical simulation,the minimum number of pinned nodes required for synchronization is calculated,which further verifies the validity of the obtained results.

关 键 词：中立型复杂网络 牵制控制 自适应控制 LYAPUNOV稳定性理论 渐近同步 Itö公式 线性矩阵不等式 更新律 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TN99[自动化与计算机技术—控制科学与工程]