Synchronization in networks of identical linear systems

被引:643
作者
Scardovi, Luca [1 ]
Sepulchre, Rodolphe [2 ]
机构
[1] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA
[2] Univ Liege, Dept Elect Engn & Comp Sci, B-4000 Liege, Belgium
关键词
Synchronization; Consensus; Multi-agent systems; Weak coupling; Oscillator analysis; PASSIVITY; AGENTS; DESIGN;
D O I
10.1016/j.automatica.2009.07.006
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling that achieves synchronization if the decoupled systems have no exponentially unstable mode and if the communication graph is uniformly connected. The result can be interpreted as a generalization of classical consensus algorithms. Stronger conditions are shown to be sufficient - but to some extent, also necessary - to ensure synchronization with the diffusive static output coupling often considered in the literature. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2557 / 2562
页数:6
相关论文
共 22 条
[1]  
[Anonymous], J DYN DIFFERENTIAL E
[2]   Passivity as a design tool for group coordination [J].
Arcak, Murat .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1380-1390
[3]  
BITTANTI S, 2001, PERIODIC CONTROL SYS
[4]  
CARLI R, 2008, 17 IFAC WORLD C
[5]  
Horn R.A., 1994, TOPICS MATRIX ANAL, DOI DOI 10.1017/CBO9780511840371
[6]   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
[7]  
Leonard N, 2008, COMMUN INF SYST, V8, P473
[8]   A nested Matrosov theorem and persistency of excitation for uniform convergence in stable nonautonomous systems [J].
Loría, A ;
Panteley, E ;
Popovic, D ;
Teel, AR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :183-198
[9]   Stability of continuous-time distributed consensus algorithms [J].
Moreau, L .
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, :3998-4003
[10]   Stability of multiagent systems with time-dependent communication links [J].
Moreau, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :169-182