Journal of Optimization Theory and Applications

, Volume 32, Issue 3, pp 365–377 | Cite as

Remarks on capture-avoidance games

  • S. Gutman
Contributed Papers


We formulate the problems of capture and avoidance as differential games with terminal cost, thus avoiding some difficulties arising from choosing the terminal time or the closest distance as the cost. This puts capture and avoidance in the context of differential games, in the sense of Isaacs. The results are illustrated via linear differential games with hard control constraints.

Key Words

Differential games pursuit and evasion capture avoidance linear games 


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Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • S. Gutman
    • 1
  1. 1.Faculty of Mechanical EngineeringTechnion-Israel Institute of TechnologyHaifaIsrael

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