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Capture Conditions in a Pursuit-Evasion Game between Players with Biproper Dynamics1

Author

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  • T. Shima

    (RAFAEL
    Wright-Patterson AFB)

Abstract

Capture conditions in a planar pursuit-evasion game between a guided missile and its aerial target, each having either forward control or tail control, are derived analytically. The adversaries closed-loop maneuver dynamics are represented by first-order biproper transfer functions. A distinction is made between open and closed capture zones in the reduced-order game space. It is shown that locating the control surface forward, instead of aft, provides considerable advantages with regard to the existence and size of different capture zones. A new game space decomposition with two singular regions is also presented and the conditions for its existence are given.

Suggested Citation

  • T. Shima, 2005. "Capture Conditions in a Pursuit-Evasion Game between Players with Biproper Dynamics1," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 503-528, September.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:3:d:10.1007_s10957-005-5495-3
    DOI: 10.1007/s10957-005-5495-3
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    Cited by:

    1. Sergey S. Kumkov & Stéphane Ménec & Valerii S. Patsko, 2017. "Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications," Dynamic Games and Applications, Springer, vol. 7(4), pages 609-633, December.
    2. Yanfang Liu & Naiming Qi & Zhiwei Tang, 2013. "Effects of Divert-Thrusters on Homing Performance of Endo-atmospheric Interceptors," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 345-364, February.

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