An iterative numerical method for a class of quantitative pursuit-evasion games

1998 Guidance, Navigation, and Control Conference and Exhibit

Volumn , Issue , 1998, Pages 175-182

  Tank, Min Jea ^a   Ryu, Hyeok ^a   Kim, Je Gyum ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GAMES; GRADIENT METHODS; ITERATIVE METHODS; NUMERICAL METHODS;

COMPUTATIONALLY EFFICIENT; CONSTANT SPEED; CONTROL VARIABLE; GRADIENT BASED; INITIAL CONDITIONS; ITERATIVE NUMERICAL METHOD; PURSUIT EVASION GAMES; TERMINAL CONSTRAINT;

ALGORITHMS;

EID: 84959151973     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. Isaacs, R., Differential Games, John Wiley and Sons, New York, 1967.
2. Breitner, M. H., Pesch, H. J., and Grimm, W., "Complex Differential Games of Pursuit-Evasion Type with State Constraints, Part 2: Numerical Computation of Optimal Open-Loop Strategies", Journal of Optimization Theory and Application, Vol. 78, No. 3, 1993, pp. 443-463.
3. Lee, H., and Tahk, M., "A Numerical Solver for Missile/Target Pursuit Evasion Games", Proc. of the Seventh International Symposium on Differential Games and Applications, Shonan Village Center, Kanagawa, Japan, December 16-18, 1996, pp. 611-614.
4. Raivio, T., Ehtamo, H., and Hämäläinen, R. P., "A Decomposition Method for a Class of Pursuit-Evasion Games", Proc. of the Seventh International Symposium on Dynamic Games and Applications, Shonan Village Center, Kanagawa, Japan, December 16-18, 1996, pp. 784-795.
5. Tahk, M., Ryu, H., Kim, J., and Rhee, I., "A Gradient-Based Direct Method for Complex Pursuit-Evasion Games", Proc. of the Eighth International Symposium on Dynamic Games and Applications, Chateau Vaalsbroek, Maastricht, Netherlands, July 6-8, 1998.
6. Hargraves, C. R., and Paris, S. W., "Direct Trajectory Optimization Using Nonlinear Programming and Collocation", Journal of Guidance, Control, and Dynamics, Vol. 10, No. 4, 1987, pp. 338-342.
7. Kumar, R. R., and Seywald, H., "Should Controls Be Eliminated While Solving Optimal Control Problems via Direct Methods?", Journal of Guidance, Control, and Dynamics, Vol. l9, No. 2, 1996, pp. 418-423.
8. Bryson, A. E., and Ho, Y. C., Applied Optimal Control, Ginn and Company, Waltham, Massachusetts, 1969.
9. Doležal, J., "Parameter Optimization for Two-Player Zero-Sum Differential Games", Journal of Dynamic Systems, Measurement, and Control, Vol. 101, 1979, pp. 345-349.
10. Lachner, R., Breitner, M. H., and Pesch, H. J., "Real-Time Collision Avoidance against Wrong drivers: Differential Game Approach, Numerical Solution and Synthesis of Strategies with Neural Networks", Proc. of the Seventh International Symposium on Dynamic Games and Applications, Shonan Village Center, Kanagawa, Japan, December 16-18, 1996, pp. 573-582.
11. Basar, T., and Olsder, G. J., Dynamic Noncooperative Game Theory, Academic Press, 1982.
12. Guelman, M., Shinar, J., and Green, A., "Qualitative Study of a Planar Pursuit-Evasion Game in Atmosphere", AIAA Paper 88-4158, 1988, pp. 874-882.
13. Green, A., Shinar, J., and Guelman, M., "Game Optimal Guidance Law Synthesis for Short Range Missiles", Journal of Guidance, Control, and Dynamics, Vol. 15, No. 1, 1992, pp. 191-197.