Abstract
An iterative method of constructing sections of the game surfaces from the players' extremal trajectory maps is discussed. Barrier sections are presented for aircraft pursuit-evasion at constant altitude, with one aircraft flying at sustained speed and the other varying its speed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Isaacs, R.,Differential Games, John Wiley and Sons, New York, New York, 1965.
Merz, A. W.,The Game of Two Identical Cars, Multicriteria Decision Making and Differential Games, Edited by G. Leitmann, Plenum Press, New York, New York, 1976.
Peng, W. Y., andVincent, T. L.,Some Aspects of Aerial Combat, AIAA Journal, Vol. 13, pp. 7–11, 1975.
Breakwell, J. V., andMerz, A. W.,Minimum Required Capture Radius in a Coplanar Model of the Aerial Combat Problem, AIAA Journal, Vol. 15, pp. 1089–1094, 1977.
Merz, A. W., andHague, D. S.,Coplanar Tail-Chase Aerial Combat as a Differential Game, AIAA Journal, Vol. 15, pp. 1419–1424, 1977.
Lynch, U. H. D.,Differential Game Barriers and Their Application in Air-to-Air Combat, Air Force Institute of Technology, PhD Thesis, 1973.
Kelly, H. J., andLefton, L.,Calculation of Differential Turning Barrier Surfaces, Journal of Spacecraft and Rockets, Vol. 14, pp. 87–95, 1977.
Roberts, D. A., andMontgomery, R. C.,Development and Application of a Gradient Method for Solving Differential Games, NASA Langley Research Center, Report No. TND-6502, 1971.
Leatham, A. L., andLynch, U. H. D.,Two Numerical Methods to Solve Realistic Air-to-Air Combat Differential Games, American Institute of Aeronautics and Astronautics, Paper No. 74–22, 1974.
Anderson, G. M.,A Near-Optimal Closed-loop Solution Method for Nonsingular Zero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 13, pp. 303–318, 1974.
Jarmark, B. S. A.,Near-Optimal Closed-Loop Strategy for Aerial Combat Games, Royal Institute of Technology, Sweden, Report No. TRITA-REG-7602, 1976.
Prasad, U. R., Rajan, N., andRao, N. J.,Planar Pursuit-Evasion with Variable Speeds, Part 1, Extremal Trajectory Maps, Journal of Optimization Theory and Applications, Vol. 33, 401–418, 1981.
Rajan, N.,Differential Game Analysis of Two Aircraft Pursuit-Evaasion, Indian Institute of Science, PhD Thesis, 1978.
Author information
Authors and Affiliations
Additional information
Communicated by G. Leitmann
Rights and permissions
About this article
Cite this article
Rajan, N., Prasad, U.R. & Rao, N.J. Planar pursuit-evasion with variable speeds, part 2, barrier sections. J Optim Theory Appl 33, 419–432 (1981). https://doi.org/10.1007/BF00935253
Issue Date:
DOI: https://doi.org/10.1007/BF00935253