IJCNS  Vol.3 No.11 , November 2010
Consensus of a Kind of Dynamical Agents in Network with Time Delays
Abstract: This paper investigates the collective behavior of a class of dynamic agents with time delay in transmission networks. It is assumed that the agents are Lyapunov stable distributed on a plane and their location coordinates are measured by some remote sensors with certain error and transmitted to their neighbors. The control protocol is designed on the transmitted information by a linear decentralized law. The coordination of dynamical agents is shown under the condition that the error is small enough. Numerical simulations demonstrate that our theoretical results are effective.
Cite this paper: nullH. Yu and B. Zhang, "Consensus of a Kind of Dynamical Agents in Network with Time Delays," International Journal of Communications, Network and System Sciences, Vol. 3 No. 11, 2010, pp. 893-898. doi: 10.4236/ijcns.2011.311121.

[1]   A. Jadbabaie, J. Lin and S. A. Morse, “Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules,” IEEE Transactions on Automatic Control, Vol. 48, No. 6, June 2003, pp. 988-1000.

[2]   R. O. Saber and R. M. Murray, “Consensus Problems in Networks of Agents with Switching Topology and Time- Delays,” IEEE Transactions on Automatic Control, Vol. 49, No. 9, September 2004, pp. 1520-1533.

[3]   R. O. Saber, J. A. Fax and R. M. Murray, “Consensus and Cooperation in Networked Multiagent Systems,” Proceedings of the IEEE, Vol. 95, No. 1, January 2007, pp. 215-240.

[4]   P. Lin and Y. Jia, “Average Consensus in Networks of Multi-Agents with Both Switching Topology and Coupling Time-Delay,” Physica A: Statistical Mechanics and its Applications, Vol. 387, No. 1, January 2008, pp. 303-313.

[5]   Y. Liu and K. M. Passino, “Stable Social Foraging Swarms in a Noisy Environment,” IEEE Transactions on Automatic Control, Vol. 49, No. 1, 2004, pp. 30-44.

[6]   V. Gazi and K. M. Passion, “Stability Analysis of Social Foraging Swarms,” IEEE Transactions on System, Man and Cybernetics, Vol. 34, No. 1, 2004, pp. 539-557.

[7]   H. Yu and Y. Zheng, “Global Behavior of Dynamical Agents in Directed Network,” Proceedings of the 26th Chinese Control Conference, 2007, pp. 557-561.

[8]   G. Xie and L. Wang, “Consensus Control for a Class of Networks of Dynamic Agents,” International Journal of Robust and Nonlinear Control, Vol. 16, 2006, pp. 1-16.

[9]   L. Yang, H. Yu and Y. Zheng, “Aggregation of Dynamical Agents in Network,” 7th World Congress on Intelligent Control and Automation, June 2008, pp. 6348-6352.

[10]   N. Biggs and Algebraic, “Graph Theory,” Cambridge University Press, Cambridge, 1994.

[11]   R. A. Horn and C. R. Johnson, “Matrix Analysis,” Cambridge University Press, Cambridge, 1987.