Conditions for Synchronizability in Arrays of Coupled Linear Systems

被引：200

作者：

Tuna, S. Emre ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Elect & Elect Engn, TR-06531 Ankara, Turkey

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 10期

关键词：

Linear systems; multi-agent system; synchronization stability; synchronizing feedback law;

D O I：

10.1109/TAC.2009.2029296

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Synchronization in arrays of coupled continuous-time linear systems is studied. Sufficiency of certain conditions for the existence of a synchronizing feedback law are analyzed. It is shown that, for neutrally stable systems that are detectable from their outputs, a linear feedback law exists under which any number of coupled systems synchronize provided that the (directed, weighted) graph describing the interconnection is fixed and connected. An algorithm generating one such feedback law as well as the trajectory that the solutions converge to are presented. It is also shown that, for critically unstable systems, delectability is not sufficient, whereas full-state coupling is, for the existence of a linear feedback law that is synchronizing for all coupling configurations described by a connected graph.

引用

页码：2416 / 2420

页数：5

共 15 条

[1] Generalized connection graph method for synchronization in asymmetrical networks [J].

Belykh, Igor ;

Belykh, Vladimir ;

Hasler, Martin .

PHYSICA D-NONLINEAR PHENOMENA, 2006, 224 (1-2) :42-51

[2] Uniform stabilization for linear systems with persistency of excitation: the neutrally stable and the double integrator cases [J].

Chaillet, Antoine ;

Chitour, Yacine ;

Loria, Antonio ;

Sigalotti, Mario .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2008, 20 (02) :135-156

[3] Information flow and cooperative control of vehicle formations [J].

Fax, JA ;

Murray, RM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476

[4] 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

[5]

Khalil H. K., 2002, Nonlinear systems, V3

[6] Stability of multiagent systems with time-dependent communication links [J].

Moreau, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :169-182

[7] Consensus and cooperation in networked multi-agent systems [J].

Olfati-Saber, Reza ;

Fax, J. Alex ;

Murray, Richard M. .

PROCEEDINGS OF THE IEEE, 2007, 95 (01) :215-233

[8] Master stability functions for synchronized coupled systems [J].

Pecora, LM ;

Carroll, TL .

PHYSICAL REVIEW LETTERS, 1998, 80 (10) :2109-2112

[9] On consensus algorithms for double-integrator dynamics [J].

Ren, Wei .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (06) :1503-1509

[10] Synchronization of coupled harmonic oscillators with local interaction [J].

Ren, Wei .

AUTOMATICA, 2008, 44 (12) :3195-3200

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