Average consensus in delayed networks of dynamic agents with impulsive effects

Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering

Volumn 4 LNICST, Issue PART 1, 2009, Pages 1124-1138

  Wu, Quanjun ^a   Xiang, Lan ^a   Zhou, Jin ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Average consensus; Impulsive effects; Multi agent systems; Time delays; Undirected network

Indexed keywords

AVERAGE CONSENSUS; COMMUNICATION TOPOLOGIES; CONSENSUS SCHEMES; DELAYED NETWORKS; DYNAMIC AGENTS; IMPULSIVE EFFECTS; NUMERICAL EXAMPLE; PRIMARY CONTRIBUTION; STABILITY THEORIES; SUFFICIENT CONDITIONS; SWITCHING TOPOLOGY; THEORETICAL RESULT; UNDIRECTED NETWORK;

DYNAMICAL SYSTEMS; MULTI AGENT SYSTEMS; TIME VARYING NETWORKS; TOPOLOGY;

INTELLIGENT AGENTS;

EID: 70350715539     PISSN: 18678211     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-02466-5_112     Document Type: Conference Paper

References (36)

1. Amritkar, R.E., Jalan, S.: Self-Organized and Driven Phase Synchronization Incoupled Map Networks. Physica A 321, 220-225 (2003)
2. Warburton, K., Lazarus, J.: Tendency-Distance Models of Social Cohesion in Animal Groups. J. Theor. Biol. 150(4), 473-488 (1991)
3. Breder, C.M.: Equations Descriptive of Fish Schools and Other Animal Aggregations. Ecology 35(3), 361-370 (1954)
4. Lin, Z., Francis, B., Maggiore, M.: Necessary and Sufficient Graphical Conditions for Formation Control of Unicycles. IEEE Trans. Autom. Control 50(1), 121-127 (2005) (Pubitemid 40173734)
5. Hong, Y., Hu, J., Gao, L.: Tracking Control for Multi-Agent Consensus with an Active Leader and Variable Topology. Automatica 42, 1177-1182 (2006) (Pubitemid 43767488)
6. Olfati-Saber, R., Murray, R.M.: Consensus Problems in Networks of Agents with Switching Topology and Time-Delays. IEEE Trans. Autom. Control 49(9), 1520-1533 (2004)
7. Olfati-Saber, R.: Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory. IEEE Trans. Autom. Control 51(3), 401-420 (2006)
8. Vicsek, T., Czirok, A., Jacob, E.B., Cohen, I., Schochet, O.: Novel Type of Phase Transition in a System of Self-Driven Particles. Phys. Rev. Lett. 75(6), 1226-1229 (1995)
9. Czirok, A., Vicsek, T.: Collective Behavior of Interacting Self-Propelled Particles. Physica A 281, 17-29 (2000)
10. Fax, J.A., Murray, R.M.: Information Flow and Cooperative Control of Vehicle Formations. IEEE Trans. Automat. Control 49(9), 1465-1476 (2004)
11. Mu, S., Chu, T., Wang, L.: Coordinated Collective Motion in a Motile Particle Group with a Leader. Physica A 351, 211-226 (2005) (Pubitemid 40466995)
12. Toner, J., Tu, Y.: Flocks, Herds, and Schools: A Quantitative Theory of Flocking. Phys. Rev. E 58(4), 4828-4858 (1998) (Pubitemid 128596420)
13. Lawton, J.R., Beard, R.W.: Synchronized Multiple Spacecraft Rotations. Automatica 38, 1359-1364 (2002) (Pubitemid 34623686)
14. Lynch, N.A.: Distributed Algorithms. Morgan Kaufmann, San Mateo (1997)
15. DeGroot, M.H.: Reaching a Consensus. J. Am. Statist. Assoc. 69(345), 118-121 (1974)
16. Jadbabaie, A., Lin, J., Morse, A.S.: Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules. IEEE Trans. Autom. Control 48(6), 988-1001 (2003)
17. Lin, Z., Broucke, M., Francis, B.: Local Control Strategies for Groups of Mobile Autonomous Agents. IEEE Trans. Automat. Control 49(4), 622-629 (2004)
18. Moreau, L.: Stability of Multiagent Systems with Time-Dependent Communication Links. IEEE Trans. Automat. Control 50(2), 169-182 (2005) (Pubitemid 40319348)
19. Ren,W., Beard, R.W.: Consensus Seeking inMultiagent Systems under Dynamically Changing Interaction Topologies. IEEE Trans. Automat. Control 50(5), 655-661 (2005) (Pubitemid 40784437)
20. Xiao, L., Boyd, S.: Fast Linear Iterations for Distributed Averaging. Systems Control Lett. 53, 65-78 (2004)
21. Hale, J.K., Verduyn Lunel, S.M.: Introduction to Functional Differential Equations. Springer, New York (1993)
22. Zhou, J., Chen, T.P.: Synchronization in General Complex Delayed Dynamical Networks. IEEE Trans. Circ. Syst. I 53(3), 733-744 (2006)
23. Zhou, J., Xiang, L., Liu, Z.R.: Global Synchronization in General Complex Delayed Dynamical Networks and Its Applications. Physica A 382(2), 729-742 (2007) (Pubitemid 47429909)
24. Chen, G.R., Zhou, J., Liu, Z.R.: Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models. Int. J. Bifur & Chaos 14(7), 2229-2240 (2004) (Pubitemid 40242101)
25. Sinopoli, B., Schenato, L., Franceschetti, M., Poola, K., Jordan, M.I., Sastry, S.S.: Kalman Filtering with Intermittent Observations. IEEE Trans. Autom. Control 49(9), 1453-1464 (2004)
26. Hatano, Y., Mesbahi, M.: Agreement Over Random Networks. IEEE Trans. Autom. Control 50(11), 1867-1872 (2005) (Pubitemid 41748891)
27. Mesbahi, M.: On State-Dependent Dynamic Graphs and Their Controllability Properties. IEEE Trans. Autom. Control 50(3), 387-392 (2005) (Pubitemid 40448590)
28. Earl, M.G., Strogatz, S.H.: Synchronization in Oscillator Networks with Delayed Coupling: A Stability Criterion. Phys. Rev. E 67, 36204 (2003)
29. Sun, Y.G., Wang, L., Xie, G.: Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-Varying Delays. System Control Lett. 57, 175-183 (2008) (Pubitemid 350251630)
30. Lin, P., Jia, Y.: Average Consensus in Networks of Multi-Agents with both Switching Topology and Coupling Time-Delay. Physica A 387, 303-313 (2008) (Pubitemid 350051268)
31. Guan, Z.H., Liu, Y.Q., Wen, X.C.: Decentralized Stabilization of Singular and Time-Delay Large-Scale Control Systems with Impulsive Solutions. IEEE Trans. Autom. Control 40(8), 1437-1441 (1995)
32. Zhou, J., Xiang, L., Liu, Z.R.: Synchronization in Complex Delayed Dynamical Networks with Impulsive Effects. Physica A 384, 684-692 (2007) (Pubitemid 47285626)
33. Xu, J., Chung, K.W.: Effects of Time Delayed Position Feedback on a Van Der Pol-Duffing Oscillator. Physica D 180(1), 17-39 (2003)
34. Yang, Z.C., Xu, D.Y.: Stability Analysis of Delay Neural Networks with Impulsive Effects. IEEE Trans. Circuits Syst. II 52(8), 517-521 (2005)
35. Sun, Y.G., Wang, L., Xie, G.: Average Consensus in Directed Networks of Dynamic Agents with Time-Varying Communication Delays. In: 45th IEEE Conf. Decision and Control, pp. 3393-3398 (2006) (Pubitemid 351283570)
36. Park, J.H.: Synchronization of a Class of Chaotic Dynamic Systems with Controller Gain Variations. Chaos, Solitons and Fractals 27, 1279-1284 (2006) (Pubitemid 41329820)