基于自适应牵制控制的中立型复杂网络渐近同步

doi:10.16180/j.cnki.issn1007-7820.2021.09.003

电子科技 ›› 2021, Vol. 34 ›› Issue (9): 12-16.doi: 10.16180/j.cnki.issn1007-7820.2021.09.003

基于自适应牵制控制的中立型复杂网络渐近同步

时慧,童东兵

上海工程技术大学机械与汽车工程学院,上海 201620

收稿日期:2020-05-17 出版日期:2021-09-15 发布日期:2021-09-08
作者简介:时慧(1995-),女,硕士研究生。研究方向:复杂网络、模型降阶、嵌入式系统。|童东兵(1979-),男,博士,副教授。研究方向:嵌入式系统、复杂网络、模型降阶。
基金资助:
国家自然科学基金(61673257);国家自然科学基金(11501367);中国博士后科学基金面上项目(2019M661322)

The Asymptotic Synchronization of Neutral Complex Networks with Adaptive Pinning Control

SHI Hui,TONG Dongbing

School of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620,China

Received:2020-05-17 Online:2021-09-15 Published:2021-09-08
Supported by:
National Natural Science Foundation of China(61673257);National Natural Science Foundation of China(11501367);General Program of China Postdoctoral Science Foundation(2019M661322)

摘要/Abstract

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。

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

Abstract:

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 Itö formula, 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.

Key words: neutral complex networks, the pinning control, the adaptive control, Lyapunov stability theory, asymptotic synchronization, Itö formula, linear matrix inequalities, update law

中图分类号:

TP13

时慧,童东兵. 基于自适应牵制控制的中立型复杂网络渐近同步[J]. 电子科技, 2021, 34(9): 12-16.

SHI Hui,TONG Dongbing. The Asymptotic Synchronization of Neutral Complex Networks with Adaptive Pinning Control[J]. Electronic Science and Technology, 2021, 34(9): 12-16.

图/表 2

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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

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