Consensus problem of second-order dynamic agents with heterogeneous input and communication delays

International Journal of Computers, Communications and Control

Volumn 5, Issue 3, 2010, Pages 325-335

  Liu, C L ^a   Liu, F ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

Communication delay; Consensus; Coordination control; Input delay; Second order multi agent systems

Indexed keywords

EID: 77956258871     PISSN: 18419836     EISSN: 18419844     Source Type: Journal    
DOI: 10.15837/ijccc.2010.3.2485     Document Type: Article

References (25)

1. A. Jadbabaie, J. Lin, A.S. Morse, Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules, IEEE Transactions on Automatic Control, 48(6):988-1001, 2003.
2. R. Olfati-Saber, R. Murray, Consensus Problems in Networks of Agents with Switching Topology and Time-delays, IEEE Transactions on Automatic Control, 49(9):1520-1533, 2004.
3. W. Ren, E. Atkins, Distributed Multi-vehicle Coordinated Control via Local Information Exchange, International Journal of Robust and Nonlinear Control, 17(10-11):1002-1033, 2007.
4. Y. Hong, L. Gao, D. Cheng, J. Jiang, Lyapunov-based Approach to Multiagent Systems with Switch-ing Jointly Connected Interconnection, IEEE Transactions on Automatic Control, 52(5):943-948, 2007.
5. Y.-P. Tian, C.-L. Liu, Consensus of Multi-agent Systems with Diverse Input and Communication Delays, IEEE Transactions on Automatic Control, 53(9):2122-2128, 2008.
6. W.Wang, J.J.E. Slotine, Contraction Analysis of Time-delayed Communication Delays, IEEE Trans-actions on Automatic Control, 51(4):712-717, 2006.
7. Y.-G. Sun, L. Wang, Consensus of Multi-agent Systems in Directed Networks with Nonuniform Time-Varying Delays, IEEE Transactions on Automatic Control, 54(7):1607-1613, 2009.
8. J. Wang, N. Elia, Consensus over Network with Dynamic Channels, Proc. of the 2008 American Control Conference, Seattle, pp.2637-2642, 2008.
9. M. Cao, A.S. Morse, B.D.O. Anderson, Reaching an Agreement Using Delayed Information, Proc. of the 45th IEEE Conference on Decision and Control, San Diego, pp.3375-3380, 2006.
10. F. Xiao, L. Wang, Asynchronous Consensus in Continuous-time Multi-agents with Switching Topology and Time-varying Delays, IEEE Transactions on Automatic Control, 53(8):1804-1816, 2008.
11. V.D. Blondel, J.M. Hendrickx, A. Olshevsky, J.N. Tsitsiklis, Convergence in Multi-agent Coordina-tion, Consensus, and Flocking, Proc. of the 44th IEEE Conference on Decision and Control, Seville, pp.2996-3000, 2005.
12. V. Gazi, Stability of an Asynchronous Swarm with Time-dependent Communication Links, IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 38(1):267-274, 2008.
13. J. Hu, Y. Hong, Leader-following Coordination of Multi-agent Systems with Coupling Time De-lays, Physica A, 374(2):853-863, 2007.
14. H. Su, X.Wang, Second-order Consensus of Multiple Agents with Coupling Delay, Proc. of the 7th world Congress on Intelligent Control and Automation, Chongqing, pp.7181-7186, 2008.
15. P. Lin, Y. Jia, J. Du, S. Yuan, Distributed Consensus Control for Second-order Agents with Fixed Topology and Time-delay, Proc. of the 26th Chinese Control Conference, Zhangjiajie, pp.577-581, 2007.
16. W. Yang, A.L. Bertozzi, X. Wang, Stability of a Second Order Consensus Algorithm with Time Delay, Proc. of the 47th IEEE Conference on Decision and Control, Cancun, pp.2926-2931, 2008.
17. D.J. Lee, M.K. Spong, Agreement with Non-uniform Information Delays, Proc. of the 2006 American Control Conference, Minneapolis, pp.756-761, 2006.
18. S. Kawamura, M. Svinin (eds.), Advances in Robot Control: From Everyday Physics to Human-Like Movements, Berlin: Springer-Verlag, 2006, pp.107-134.
19. P. Lin, Y. Jia, Consensus of Second-order Discrete-time Multi-agent Systems with Nonuniform Time-delays and Dynamically Changing Topologyies, Automatica, 45(9):2154-2158, 2009.
20. Y.-P. Tian, C.-L, Liu, Robust Consensus of Multi-agent Systems with Diverse Input Delays and Asymmetric Interconnection Perturbations, Automatica, 45(5):1374-1353, 2009.
21. Y.-P. Tian, G. Chen, Stability of The Primal-dual Algorithm for Congestion control, International Journal of Control, 79(6):662-676, 2006.
22. R. Pedrami, B.W. Gordon, Control and Analysis of Energetic Swarm Systems, Proc. of the 2007 American Control Conference, New York, pp.1894-1899, 2007.
23. I. Lestas, G. Vinnicombe, Scalable Robustness for Consensus Protocols with Heterogeneous Dynamics, Proc. of the 16th IFAC World Congress, Prague, 2005.
24. Z. Lin, B. Francis, M. Maggiore, Necessary and Sufficient Graphical Conditions for Formation Control of Unicycles, IEEE Transactions on Automatic Control, 50(1):121-127, 2005.
25. C.A. Desoer, Y.T. Wang, On the Generalized Nyquist Stability Criterion, IEEE Transactions on Automatic Control, 25(2):187-196, 1980.