Brittle Synergy: An optimal decomposition of minimax team decision problems

Proceedings of the American Control Conference

Volumn , Issue , 2007, Pages 4892-4898

  Georgiev, D ^a   Kabamba, P T ^a   Tilbury, D M ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LEAD; SHAPE OPTIMIZATION; STABILIZERS (AGENTS); STRUCTURAL OPTIMIZATION; UNMANNED AERIAL VEHICLES (UAV); UNMANNED VEHICLES;

COMMUNICATION CHANNELS; DECISION PROBLEMS; FORMATION FLYING (FF); MINI MAX; OPTIMAL DECOMPOSITION; OPTIMAL POLICIES; OPTIMALITY; OPTIMIZ ATION PROBLEMS; QUADRATIC COSTS; SOLUTION METHODS; SUFFICIENT CONDITIONS (SC); SYNERGY (CO); TRADITIONAL METHODS; UNMANNED AERIAL VEHICLE (UAV)];

DECOMPOSITION;

EID: 46449110306     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4283040     Document Type: Conference Paper

References (18)

1. The American Heritage Dict. Houghton Mifflin Company, 2004.
2. V. G. Rao and P. T. Kabamba, "Time-optimal graph traversal for two agents: when is formation travel beneficial?," in Proc. of the American Control Conf, 2003.
3. T. Yoshikawa, "Decomposition of dynamic team decision problems," IEEE Trans. Automat. Contr., vol. 23, 1978.
4. R. Radner, "Team decision problems," Annals of Math. Stat., vol. 33, 1962.
5. S. S. Stankovic, M. J. Stanojevic, and D. D. Siljak, "Decentralized overlapping control of a platoon of vehicles," IEEE Trans. on Contr. Syst. Tech., vol. 8, 2000.
6. J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formation," IEEE Trans. Automat. Contr., vol. 49, no. 9, 2004.
7. F. L. Lian, J. R. Moyne, and D. M. Tilbury, "Network design consideration for distributed control systems," IEEE Trans. Contr. Sys. Tech., vol. 10, March 2002.
8. Y. C. Ho and K. Chu, "Team decision theory and information structures in optimal control problems - part I," IEEE Trans. Automat. Contr., vol. AC-17, no. 1, 1972.
9. P. G. Voulgaris, "Optimal control design under structural and communication constraints," in Multidisciplinary Research in Contr., 2003.
10. K. Rudie, S. Lafortune, and L. Feng, "Minimal communication in a distributed discrete-event system," IEEE Trans. Automat. Contr., vol. 48, 2003.
11. F. L. Lian, J. Yook, D. M. Tilbury, and J. Moyne, "Network architecture and communication modules for guaranteeing acceptable control and communication performance for networked multi-agent systems," IEEE Trans. on Industrial Informatics, vol. 2, February 2006.
12. C. G. Goodwin, H. Haimovich, D. E. Quevedo, and J. S. Welsh, "A moving horizon approach to networked control system design," IEEE Trans. Automat. Contr., vol. 49, 2004.
13. P. Whittle, "Risk-sensitive Linear/Quadratic/Gaussian control," Adv. in App. Prob., vol. 13, no. 4, 1981.
14. J. C. Krainak, J. L. Speyer, and S. I. Marcus, "Static team problems - Part I: Sufficient conditions of the exponetial cost criterion," IEEE Trans. Automat. Contr., vol. 27, no. 4, 1982.
15. ∞ and stochastic risk-averse criteria," IEEE Trans. Automat. Contr., vol. 39, no. 4, 1994.
16. T. Basar and P. Bernhard, H-infinity Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. Birkhauser, 1995.
17. F. Jarre, "An interior point method for minimizing the maximum eigenvalue of a linear combination of matrices," SIAM Journal on Contr. and Opt., vol. 31, no. 5, 1993.
18. D. Henrion, "Solving LMIs." http://www.laas.fr/ henrion/courses/lmi03/lmiI4.pdf, November 2003.