Multi-agent team cooperation: A game theory approach

Automatica

Volumn 45, Issue 10, 2009, Pages 2205-2213

  Semsar Kazerooni, E ^a   Khorasani, K ^a  

^a Dept of Electrical and Computer Engineering   (Canada)

Author keywords

Consensus algorithms; Cooperative control; Game theory; Multi agent networks; Optimal control

Indexed keywords

AVERAGE COST; CONSENSUS ALGORITHMS; COOPERATIVE CONTROL; COOPERATIVE GAME THEORY; INFORMATION SET; LINEAR MATRIX INEQUALITY FORMULATIONS; LOCAL INFORMATION; LOWER COST; MINIMIZATION PROBLEMS; MULTI-AGENT NETWORKS; MULTIAGENT TEAMS; OPTIMAL CONTROL; OPTIMAL CONTROL STRATEGY; PERFORMANCE CAPABILITY; TEAM COOPERATION;

AEROSPACE VEHICLES; CONTROLLERS; COST FUNCTIONS; COSTS; INTELLIGENT AGENTS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MULTI AGENT SYSTEMS; OPTIMAL CONTROL SYSTEMS; PARETO PRINCIPLE; SET THEORY;

GAME THEORY;

EID: 70049091168     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.06.006     Document Type: Article

References (38)

1. Ait-Rami M., and Zhou X.Y. Linear matrix inequalities, Riccati equations, and indefinite stochastic linear quadratic controls. IEEE Transactions on Automatic Control 45 6 (2000) 1131-1142
2. Anderson B.D.O., and Moore J.B. Optimal control: Linear quadratic methods. Prentice Hall information and system sciences series (1990)
3. Arcak, M. (2006). Passivity as a design tool for group coordination. In Proc. American control conference (pp. 29-34)
4. Bauso, D., Giarre, L., & Pesenti, R. (2006). Mechanism design for optimal consensus problems. In Proc. conference on decision and control (pp. 3381-3386)
5. Bošković, J.D., Li, S. M., & Mehra, R. K. (2002). Formation flight control design in the presence of unknown leader commands. In: Proc. American control conference (pp. 2854-2859)
6. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM
7. Engwerda J.C. LQ dynamic optimization and differential games (2005), John Wiley & Sons
8. Fax, J. A. (2002). Optimal and cooperative control of vehicle formations. Ph.D. thesis. California Institute of Technology
9. Fax J.A., and Murray R.M. Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control 49 9 (2004) 1465-1476
10. Gazi, V. (2002). Stability analysis of swarms. Ph.D. thesis. The Ohio State University
11. Godsil C., and Royle G. Algebraic graph theory (2001), Springer
12. Inalhan, G., Stipanović, D. M., & Tomlin, C. J. (2002). Decentralized optimization, with application to multiple aircraft coordination. In Proc. conference on decision and control (pp. 1147-1155)
13. Jadbabaie, A. (1997). Robust, non-fragile controller synthesis using model-based fuzzy systems: A linear matrix inequality approach. Master's thesis. The University of New Mexico
14. Jadbabaie A., Lin J., and Morse S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control 48 6 (2003) 988-1000
15. Lee, D., & Spong, M. W. (2006). Agreement with non-uniform information delays. In Proc. American control conference (pp. 756-761)
16. Olfati-Saber R. Flocking for multi-agent dynamic systems: Algorithms and theory. IEEE Transactions on Automatic Control 51 3 (2006) 401-420
17. Olfati-Saber, R., & Murray, R.M. (2002). Distributed structural stabilization and tracking for formations of dynamic multi-agents. In: Proc. conference on decision and control (pp. 209-215)
18. Olfati-Saber, R., & Murray, R. M. (2003a). Agreement problems in networks with directed graphs and switching topology. In Proc. conference on decision and control (pp. 4126-4132)
19. Olfati-Saber, R., & Murray, R. M. (2003b). Consensus protocols for networks of dynamic agents. In: Proc. American control conference (pp. 951-956)
20. Olfati-Saber, R., & Murray, R. M. (2003c). Flocking with obstacle avoidance: Cooperation with limited communication in mobile networks. In Proc. conference on decision and control (pp. 2022-2028)
21. Olfati-Saber R., and Murray R.M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control 49 9 (2004) 1520-1533
22. Paley, D., Leonard, N. E., & Sepulchre, R. (2004). Collective motion: Bistability and trajectory tracking. In Proc. conference on decision and control (pp. 1932-1937)
23. Raffard, R. L., Tomlin, C. J., & Boyd, S. P. (2004). Distributed optimization for cooperative agents: Application to formation flight. In Proc. conference on decision and control (pp. 2453-2459)
24. Ren, W. (2007). On consensus algorithms for double-integrator dynamics. In Proc. conference on decision and control (pp. 2295-2300)
25. Ren W., and Beard R.W. Formation feedback control for multiple spacecraft via virtual structures. IEE Proceedings Control Theory and Applications 151 3 (2004) 357-368
26. Ren W., and Beard R.W. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control 50 5 (2005) 655-661
27. Semsar, E., & Khorasani, K. (2006). Adaptive formation control of UAVs in the presence of unknown vortex forces and leader commands. In Proc. American control conference (pp. 3563-3568)
28. Semsar, E., & Khorasani, K. (2007). Optimal control and game theoretic approaches to cooperative control of a team of multi-vehicle unmanned systems. In Proc. IEEE international conference on networking, sensing and control (pp. 628-633)
29. Semsar-Kazerooni, E., & Khorasani, K. (2007a). Optimal cooperation in a modified leader-follower team of agents with partial availability of leader command. In Proc. IEEE international conference on systems, man, and cybernetics (pp. 234-239)
30. Semsar-Kazerooni, E., & Khorasani, K. (2007b). Semi-decentralized optimal control of a cooperative team of agents. In Proc. IEEE international conference on system of systems engineering (pp. 1-7)
31. Semsar-Kazerooni, E., & Khorasani, K. (2007c). Semi-decentralized optimal control technique for a leader-follower team of unmanned systems with partial availability of the leader command. In Proc. IEEE international conference on control and automation (pp. 475-480)
32. Semsar-Kazerooni E., and Khorasani K. Optimal consensus algorithms for cooperative team of agents subject to partial information. Automatica 44 11 (2008) 2766-2777
33. Semsar-Kazerooni E., and Khorasani K. An optimal cooperation in a team of agents subject to partial information. International Journal of Control 82 3 (2009) 571-583
34. Sinopoli B., Sharp C., Schenato L., Schafferthim S., and Sastry S. Distributed control applications within sensor networks. Proceedings of the IEEE 91 8 (2003) 1235-1246
35. Stipanović D.M., Inalhan G., Teo R., and Tomlin C.J. Decentralized overlapping control of a formation of unmanned aerial vehicles. Automatica 40 (2004) 1285-1296
36. Tanner H.G., Jadbabaie A., and Pappas G.J. Flocking in fixed and switching networks. IEEE Transactions on Automatic Control 52 5 (2007) 863-868
37. Willems J.C. Least squares stationary optimal control and the algebraic Riccati equation. IEEE Transactions on Automatic Control 16 6 (1971) 621-634
38. Xiao F., and Wang L. Consensus problems for high-dimensional multi-agent systems. IET Control Theory Applications 1 3 (2007) 830-837