Second-order leader-following consensus of nonlinear multi-agent systems via pinning control

Systems and Control Letters

Volumn 59, Issue 9, 2010, Pages 553-562

  Song, Qiang ^a,b   Cao, Jinde ^a   Yu, Wenwu ^a,c  

^a SOUTHEAST UNIVERSITY   (China)

^b HANGZHOU DIANZI UNIVERSITY   (China)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Directed topology; Graph theory; Multi agent system; Pinning control; Second order leader following consensus

Indexed keywords

CONSENSUS PROBLEMS; CONSENSUS PROTOCOLS; DIAGRAPHS; DIRECTED TOPOLOGY; GENERAL NETWORKS; LASALLE'S INVARIANCE PRINCIPLE; MATRIX THEORY; NETWORK OF AGENTS; NUMERICAL SIMULATION; PINNING CONTROL; REFERENCE VELOCITY; SECOND ORDERS; SECOND-ORDER DYNAMICS; SPANNING TREE; STRONGLY CONNECTED; SUFFICIENT CONDITIONS; VIRTUAL LEADER;

ALGORITHMS; ELECTRIC NETWORK TOPOLOGY; GRAPH THEORY;

MULTI AGENT SYSTEMS;

EID: 77956394910     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2010.06.016     Document Type: Article

References (40)

1. C.W. Reynolds Flocks, herds, and schools: a distributed behavioral model Comput. Graph. 21 4 1987 25 34
2. T. Vicsek, A. Czirk, E. Ben-Jacob, I. Cohen, and O. Shochet Novel type of phase transition in a system of self-driven particles Phys. Rev. Lett. 75 6 1995 1226 1229
3. R. Olfati-Saber, and R.M. Murray Consensus problems in networks of agents with switching topology and time-delays IEEE Trans. Automat. Control 49 9 2004 1520 1533
4. W. Ren, and R.W. Beard Consensus seeking in multiagent systems under dynamically changing interaction topologies IEEE Trans. Automat. Control 50 5 2005 655 661
5. Y. Sun, L. Wang, and G. Xie Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays Systems Control Lett. 57 2008 175 183
6. J. Lu, D.W.C. Ho, and J. Kurths Consensus over directed static networks with arbitrary finite communication delays Phys. Rev. E 80 2009 066121
7. W. Ren, and E. Atkins Distributed multi-vehicle coordinated control via local information exchange Int. J. Robust Nonlinear Control 17 2007 1002 1033
8. G. Xie, and L. Wang Consensus control for a class of networks of dynamic agents Int. J. Robust Nonlinear Control 17 2007 941 959
9. Y. Hong, G. Chen, and L. Bushnell Distributed observers design for leader-following control of multi-agent networks Automatica 44 2008 846 850
10. W. Ren On consensus algorithms for double-integrator dynamics IEEE Trans. Automat. Control 53 6 2008 1503 1509
11. Y. Sun, and L. Wang Consensus problems in networks of agents with double-integrator dynamics and time-varying delays Int. J. Control 82 10 2009 1937 1945
12. Y. Tian, and C. Liu Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations Automatica 45 2009 1347 1353
13. P. Lin, and Y. Jia Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies Automatica 45 2009 2154 2158
14. C.W. Wu, and L.O. Chua Synchronization in an array of linearly coupled dynamical systems IEEE Trans. Circuits Syst. I 42 8 1995 430 447
15. L.M. Pecora, and T.L. Carroll Master stability functions for synchronized coupled systems Phys. Rev. Lett. 80 10 1998 2109 2112
16. W. Lu, and T. Chen New approach to synchronization analysis of linearly coupled ordinary differential systems Physica D 213 2006 214 230
17. W. Ren Synchronization of coupled harmonic oscillators with local interaction Automatica 44 2008 3195 3200
18. H. Su, X.F. Wang, and Z. Lin Synchronization of coupled harmonic oscillators in a dynamic proximity network Automatica 45 2009 2286 2291
19. D. D'Humieres, M.R. Beasley, B.A. Huberman, and A. Libchaber Chaotic states and routes to chaos in the forced pendulum Phys. Rev. A 26 6 1982 3483 3496
20. P. Amster, and M.C. Mariani Some results on the forced pendulum equation Nonlinear Anal. 68 2008 1874 1880
21. H.K. Khalil Nonlinear Systems 3rd edition 2002 Prentice Hall
22. W. Yu, G. Chen, M. Cao, and J. Kurths Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics IEEE Trans. Syst. Man Cybern. Part B 40 3 2010 881 891
23. F. Chen, Z. Chen, L. Xiang, Z. Liu, and Z. Yuan Reaching a consensus via pinning control Automatica 45 2009 1215 1220
24. X. Liu, T. Chen, and W. Lu Consensus problem in directed networks of multi-agents via nonlinear protocols Phys. Lett. A 373 2009 3122 3127
25. W. Ren Multi-vehicle consensus with a time-varying reference state Systems Control Lett. 56 2007 474 483
26. X.F. Wang, and G. Chen Pinning control of scale-free dynamical networks Physica A 310 2002 521 531
27. X. Li, X.F. Wang, and G. Chen Pinning a complex dynamical network to its equilibrium IEEE Trans. Circuits Syst. I 51 10 2004 2074 2087
28. W. Yu, G. Chen, and J. L On pinning synchronization of complex dynamical networks Automatica 45 2009 429 435
29. J. Xiang, and G. Chen On the V-stability of complex dynamical networks Auomatica 43 2007 1049 1057
30. J. Xiang, and G. Chen Analysis of pinning-controlled networks: a renormalization approach IEEE Trans. Automat. Control 54 8 2009 1869 1875
31. T. Chen, X. Liu, and W. Lu Pinning complex networks by a single controller IEEE Trans. Circuits Syst. I 54 6 2007 1317 1326
32. J. Lu, D.W.C. Ho, and Z. Wang Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers IEEE Trans. Neural Netw. 20 10 2009 1617 1629
33. W. Xiong, D.W.C. Ho, and C. Huang Pinning synchronization of time-varying polytopic directed stochastic networks Phys. Lett. A 374 2010 439 447
34. W. Lu, X. Li, and Z. Rong Global stabilization of complex networks with diagraph topologies via a local pinning algorithm Automatica 46 2010 116 121
35. Q. Song, and J. Cao On pinning synchronization of directed and undirected complex dynamical networks IEEE Trans. Circuits Syst. I 57 3 2010 672 680
36. S. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishnan Linear Matrix Inequalities in System and Control Theory 1994 SIAM Philadelphia, PA
37. J.H. Wilkinson The Algebraic Eigenvalue Problem 1965 Oxford University Press London
38. A.N. Langville, and W.J. Stewart The Kronecker product and stochastic automata networks J. Comput. Appl. Math. 167 2004 429 447
39. H. Huijberts, H. Nijmeijer, and T. Oguchi Anticipating synchronization of chaotic Lur'e systems Chaos 17 2007 013117
40. S.M. Park, and B.J. Kim Dynamic behaviors in directed networks Phys. Rev. E 74 2006 026114