Dynamical consensus seeking of heterogeneous multi-agent systems under input delays

International Journal of Communication Systems

Volumn 26, Issue 10, 2013, Pages 1243-1258

  Liu, Cheng Lin ^a   Liu, Fei ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

consensus; coordination control; heterogeneous multi agent systems; input delay

Indexed keywords

ALGORITHMS; CONTROL SYSTEM ANALYSIS; FREQUENCY DOMAIN ANALYSIS;

CONSENSUS; CONSENSUS ALGORITHMS; CONTROL PARAMETERS; COORDINATION CONTROL; DOUBLE INTEGRATOR; HETEROGENEOUS MULTI-AGENT SYSTEMS; INPUT DELAYS; SYMMETRIC COUPLING;

MULTI AGENT SYSTEMS;

EID: 84932093470     PISSN: 10745351     EISSN: 10991131     Source Type: Journal    
DOI: 10.1002/dac.1393     Document Type: Article

References (31)

1. Jadbabaie A, Lin J, Morse AS,. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control 2003; 48 (6): 988-1001.
2. Cao M, Morse AS, Anderson BDO,. Reaching an agreement using delayed information. Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, USA, 2006; 3375-3380.
3. Xiao F, Wang L,. Asynchronous consensus in continuous-time multi-agents with switching topology and time-varying delays. IEEE Transactions on Automatic Control 2008; 53 (8): 1804-1816.
4. Hong Y, Gao L, Cheng D, Jiang J,. Lyapunov-based approach to multiagent systems with switching jointly connected interconnection. IEEE Transactions on Automatic Control 2007; 52 (5): 943-948.
5. Wang W, Slotine JJE,. Contraction analysis of time-delayed communication delays. IEEE Transactions on Automatic Control 2006; 51 (4): 712-717.
6. Sun YG, Wang L,. Consensus of multi-agent systems in directed networks with nonuniform time-varying delays. IEEE Transactions on Automatic Control 2009; 54 (7): 1607-1613.
7. Hu J, Hong Y,. Leader-following coordination of multi-agent systems with coupling time delays. Physica A 2007; 374 (2): 853-863.
8. Su H, Wang X, Second-order consensus of multiple agents with coupling delay. Proceedings of the seventh world Congress on Intelligent Control and Automation, Chongqing, China, 2008; 7181-7186.
9. Su H, Wang X, Chen G,. Rendezvous of multiple mobile agents with preserved network connectivity. Systems & Control Letters 2010; 59 (5): 313-322.
10. ∞ consensus control in directed networks of agents with time-delay. Systems & Control Letters 2008; 57 (8): 643-653.
11. Sun YG, Wang L, Xie G,. Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays. Systems & Control Letters 2008; 57 (2): 175-183.
12. Ni W, Cheng D,. Leader-following consensus of multi-agent systems under fixed and switching topologies. Systems & Control Letters 2010; 59 (3-4): 209-217.
13. Yu J, Wang L,. Group consensus in multi-agent systems with switching topologies and communication delays. Systems & Control Letters 2010; 59 (6): 340-348.
14. Tian YP, Liu CL,. Consensus of multi-agent systems with diverse input and communication delays. IEEE Transactions on Automatic Control 2008; 53 (9): 2122-2128.
15. Lin P, Jia Y, Du J, Yuan S,. Distributed consensus control for second-order agents with fixed topology and time-delay. Proceedings of the 26th Chinese Control Conference, Zhangjiajie, China, 2007; 577-581.
16. Yang W, Bertozzi AL, Wang X,. Stability of a second order consensus algorithm with time delay. Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, 2008; 2926-2931.
17. Tian YP, Liu CL,. Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations. Automatica 2009; 45 (5): 1374-1353.
18. Meng Z, Ren W, Cao Y, Zheng Y,. Some stability boundedness conditions for second-order leaderless and leader-following consensus with communication and input delays. Proceedings of the American Control Conference, Baltimore, USA, 2010; 574-579.
19. Olfati-Saber R, Murray R,. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control 2004; 49 (9): 1520-1533.
20. Ren W, Atkins E,. Distributed multi-vehicle coordinated control via local information exchange. International Journal of Robust and Nonlinear Control 2007; 17 (10): 1002-1033.
21. Lin P, Jia Y,. Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies. Automatica 2009; 45 (9): 2154-2158.
22. Hong H, Hu J, Gao L,. Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 2006; 42 (7): 1177-1182.
23. Ren W,. Multi-vehicle consensus with a time-varying reference state. Systems and Control Letters 2007; 56 (7-8): 4740-483.
24. Cao Y, Ren W, Lia Y,. Distributed discrete-time coordinated tracking with a time-varying reference state and limited communication. Automatica 2009; 45 (5): 1299-1305.
25. Lee DJ, Spong MK, Agreement with non-uniform information delays. Proceedings of the 2006 American Control Conference, Minneapolis, USA, 2006; 756-761.
26. Wang J, Elia N,. Consensus over network with dynamic channels. Proceedings of the 2008 American Control Conference, Seattle, USA, 2008; 2637-2642.
27. Lestas I, Vinnicombe G,. Scalable robustness for consensus protocols with heterogeneous dynamics. Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, 2005; 185-190.
28. Tian YP,. Stability analysis and design of the second-order congestion control for networks with heterogeneous delays. IEEE/ACM Transactions on Networking 2005; 13 (5): 1082-1093.
29. Godsil C, Royle G,. Algebraic Graph Theory. Springer: New York, 2001.
30. Lin L, Francis B, Maggiore M,. Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Transactions on Automatic Control 2005; 50 (1): 121-127.
31. Desoer CA, Wang YT,. On the generalized Nyquist stability criterion. IEEE Transactions on Automatic Control 1980; 25 (1): 187-196.