Local Consensus of Nonlinear Multiagent Systems With Varying Delay Coupling

被引：70

作者：

Qian, Wei ^{[1
]}

Wang, Lei ^{[2
,3
]}

Chen, Michael Z. Q. ^{[4
]}

机构：

[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Peoples R China

[2] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China

[3] Henan Polytech Univ, Key Lab Control Engn Henan Prov, Jiaozuo 454000, Peoples R China

[4] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2018年 / 48卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Linear matrix inequality (LMI); local consensus; Lyapunov-Krasovskii (L-K) functional; time-varying delay; DEPENDENT STABILITY-CRITERIA; LEADER-FOLLOWING CONSENSUS; NETWORKS; AGENTS; SYNCHRONIZATION; FLOCKING;

D O I：

10.1109/TSMC.2017.2684911

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the local consensus issue for multiagent systems with nonlinear dynamics and time-varying delays. By defining a weighted average state of the agents and applying local linearization, we show that the local consensus of the agents in a directed communication network can be guaranteed by the asymptotic stability of several decoupled delayed systems. Then, by employing a novel Lyapunov-Krasovskii functional, proposing a new extended reciprocally convex approach and using some matrix analysis, we derive a sufficient condition for the local consensus in terms of linear matrix inequalities associated with the dynamics of the agents, the eigenvalues of Laplacian matrix, and the time-varying delay. Finally, two numerical examples are provided to show the effectiveness of the analytical results.

引用

页码：2462 / 2469

页数：8

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