Suboptimal approaches to multiplayer pursuit-evasion differential games

Collection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2006

Volumn 8, Issue , 2006, Pages 5272-5278

  Ge, Jianhua ^a   Tang, Liang ^a   Reimann, Johan ^b   Vachtsevanos, George ^b  

^a IMPACT TECHNOLOGIES LLC   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; HIERARCHICAL SYSTEMS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING;

COOPERATIVE CONTROL; DIFFERENTIAL GAMES; HAMILTON-JACOBI-ISSACS (HJI) EQUATION; HIERARCHICAL DECOMPOSITION;

GAME THEORY;

EID: 33845769498     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-6786     Document Type: Conference Paper

References (20)

1. A. Antoniades, H. J. Kim, and S. Sastry, "Pursuit-evasion strategies for teams of multiple agents with incomplete information," Proc. of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, pp. 756-761, 2003.
2. R. Atar and P. Dupuis, "A differential game with constrained dynamics and viscosity solutions of a related HJB equation," Nonlinear Analysis: Theory, Methods and Applications, 2004.
3. R. Atar, P. Dupuis and A. Shwartz, "An escape time criterion for queueing networks: Asymptotic risk sensitive control via differential games," Mathematics of Operations Research, vol. 28, pp. 801-835, 2003.
4. M. Bardi and M. Falcone, "Numerical methods for pursuit-evasion games via viscosity solution," In Stochastic and Differential Games: Theory and Numerical Methods (eds. M. Bardi, T. Parthasarathy & T. E. S. Raghavan), Birkhauser, Boston pp. 105-175, Birkhauser, 1999.
5. T. Basar and G. J. Olsder, Dynamic Noncooperative Game Theory, SIAM Series in Classics in Applied Mathematics, Philadelphia, 1999.
6. M. S. Branicky and R. Hebbar, "Fast marching for hybrid control", Proceedings of the 1999 International Symposium on Computer Aided Control System Design, pp. 109-114.
7. R.E. Burkard, Linear assignment problem and extensions. Technical Report 127, Karl-Franzens University of Graz, Graz, Austria, 1998.
8. P. Cardaliagnet, M. Quincampoix, and P. Saint-Pierre, "Pursuit differential games with state constraints," SIAM J. Control & Optimization, Vol. 39, pp. 1615-1632, 2001.
9. F. H. Clarke, Y. S. Ledyaev, and A. I. Subbotin, "The synthesis of universal feedback pursuit strategies in differential games," SIAM J. Control & optimization, vol. 35, no. 2, pp. 552-561, 1997.
10. W. H. Fleming and H. M. Soner, Controlled Markov Processes and Viscosity Solutions, Applications of Mathematics 25, Springer-Verlag, 1993.
11. J. Ge, L. Tang, J. Reimann, and G. Vachtsevanos, "Hierarchical decomposition approach for pursuit-evasion differential game with multiple players," 2006 IEEE Aerospace Conference, Big Sky, MT, March 2006.
12. O-Hun Kwon and S. Tarashnina, "On a time-consistent solution of a cooperative differential time optimal pursuit game," J. Korean Math. Soc., vol. 39, no. 1, pp. 745-764, 2002.
13. J. Hespanha and M. Prandini, "Optimal pursuit under partial information," Proc. of the 10th Mediterranean Conf. on Contr. and Automat., July 2002.
14. R. Isaacs, Differential Games, Krieger, New York, 1965.
15. J. S. Jang and C. J. Tomlin, "Control strategies in multi-player pursuit and evasion game," AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA 2005-6239, San Francisco, CA, 15-18 August, 2005.
16. H. J. Kushner, "Numerical approximations for stochastic differential games," SIAM J. Control & Optimization, vol. 41, no. 2, pp. 457-486, 2002.
17. Y. S. Lee, Some Aspects of Differential Game Problems, Ph.D. Thesis, National Sun Yat-Sen University, Kaohsiung, Taiwan, 2003.
18. J. Reimann, G. Vachtsevanos, L. Tang, and J. Ge, "A differential game-based approach to controlling a swarm of unmanned aerial vehicles in adversarial situations," 2006 AIAA Guidance, Navigation, and Control Conference.
19. L. Schenato, S. Oh, S. Sastry, and P. Bose, "Swarm coordination for pursuit evasion games using sensor networks," IEEE International Conference on Robotics and Automation, Barcelona, Spain, April 2005.
20. D. M. Stipanovic, Sriram, and C. J. Tomlin, "Strategies for agents in multi-player pursuit evasion games," Proceedings of the Eleventh international Symposium on Dynamic Games and Applications, Tucson, Arizona, December 18-21, 2004.