Planar pursuit-evasion with variable speeds, part 2, barrier sections

  • N. Rajan
  • U. R. Prasad
  • N. J. Rao
Contributed Papers


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.

Key Words

Pursuit-evasion game barriers differential games aerial combat 


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  1. 1.
    Isaacs, R.,Differential Games, John Wiley and Sons, New York, New York, 1965.Google Scholar
  2. 2.
    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.Google Scholar
  3. 3.
    Peng, W. Y., andVincent, T. L.,Some Aspects of Aerial Combat, AIAA Journal, Vol. 13, pp. 7–11, 1975.Google Scholar
  4. 4.
    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.Google Scholar
  5. 5.
    Merz, A. W., andHague, D. S.,Coplanar Tail-Chase Aerial Combat as a Differential Game, AIAA Journal, Vol. 15, pp. 1419–1424, 1977.Google Scholar
  6. 6.
    Lynch, U. H. D.,Differential Game Barriers and Their Application in Air-to-Air Combat, Air Force Institute of Technology, PhD Thesis, 1973.Google Scholar
  7. 7.
    Kelly, H. J., andLefton, L.,Calculation of Differential Turning Barrier Surfaces, Journal of Spacecraft and Rockets, Vol. 14, pp. 87–95, 1977.Google Scholar
  8. 8.
    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.Google Scholar
  9. 9.
    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.Google Scholar
  10. 10.
    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.Google Scholar
  11. 11.
    Jarmark, B. S. A.,Near-Optimal Closed-Loop Strategy for Aerial Combat Games, Royal Institute of Technology, Sweden, Report No. TRITA-REG-7602, 1976.Google Scholar
  12. 12.
    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.Google Scholar
  13. 13.
    Rajan, N.,Differential Game Analysis of Two Aircraft Pursuit-Evaasion, Indian Institute of Science, PhD Thesis, 1978.Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • N. Rajan
    • 1
  • U. R. Prasad
    • 2
  • N. J. Rao
    • 3
  1. 1.ISRO Satellite CentreBangaloreIndia
  2. 2.Department of Aeronautical EngineeringIndian Institute of ScienceBangaloreIndia
  3. 3.School of AutomationIndian Institute of ScienceBangaloreIndia

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