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

共 40 条

[1] Statistical mechanics of complex networks [J].

Albert, R ;

Barabási, AL .

REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97

[2] Average consensus problems in networks of agents with delayed communications [J].

Bliman, Pierre-Alexandre ;

Ferrari-Trecate, Giancarlo .

AUTOMATICA, 2008, 44 (08) :1985-1995

[3] Reaching an agreement using delayed information [J].

Cao, M. ;

Morse, A. S. ;

Anderson, B. D. O. .

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, :3375-+

[4] Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems [J].

Chen, C. L. Philip ;

Wen, Guo-Xing ;

Liu, Yan-Jun ;

Liu, Zhi .

IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (07) :1591-1601

[5] Fuzzy Observed-Based Adaptive Consensus Tracking Control for Second-Order Multiagent Systems With Heterogeneous Nonlinear Dynamics [J].

Chen, C. L. Philip ;

Ren, Chang-E ;

Du, Tao .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (04) :906-915

[6] Adaptive Consensus Control for a Class of Nonlinear Multiagent Time-Delay Systems Using Neural Networks [J].

Chen, C. L. Philip ;

Wen, Guo-Xing ;

Liu, Yan-Jun ;

Wang, Fei-Yue .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (06) :1217-1226

[7] New conditions for delay-derivative-dependent stability [J].

Fridman, Emilia ;

Shaked, Uri ;

Liu, Kun .

AUTOMATICA, 2009, 45 (11) :2723-2727

[8] Lyapunov-based approach to multiagent systems with switching jointly connected interconnection [J].

Hong, Yiguang ;

Gao, Lixin ;

Cheng, Daizhan ;

Hu, Jiangping .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) :943-948

[9] Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].

Jadbabaie, A ;

Lin, J ;

Morse, AS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001

[10] Note on stability of linear systems with time-varying delay [J].

Kim, Jin-Hoon .

AUTOMATICA, 2011, 47 (09) :2118-2121

← 1 2 3 4 →