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Continuous Feedback Control Strategy With Maximal Capture Zone In A Class Of Pursuit Games

Author

Listed:
  • VLADIMIR TURETSKY

    (Faculty of Aerospace Engineering, Technion, Israel Institute of Technology, Haifa, 32000, Israel)

  • VALERY Y. GLIZER

    (Faculty of Aerospace Engineering, Technion, Israel Institute of Technology, Haifa, 32000, Israel)

Abstract

An interception problem of a highly maneuverable target is considered using a linearized kinematical model with first order acceleration dynamics of the interceptor and the target. The problem is interpreted as a differential game of pursuit. An admissible pursuer (interceptor) feedback strategy, continuous with respect to the state variables and having a maximal capture zone, is constructed. This strategy is the saturated version of a linear feedback control, obtained from the solution of an auxiliary linear-quadratic differential game with cheap controls. This strategy is evaluated by Monte-Carlo simulation of the interception with noisy measurements.

Suggested Citation

  • Vladimir Turetsky & Valery Y. Glizer, 2005. "Continuous Feedback Control Strategy With Maximal Capture Zone In A Class Of Pursuit Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 1-24.
    • Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:01:n:s0219198905000375
    DOI: 10.1142/S0219198905000375
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    References listed on IDEAS

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    1. Hendry, Scott & Zhang, Guang-Jia, 2001. "Liquidity Effects and Market Frictions," Journal of Macroeconomics, Elsevier, vol. 23(2), pages 153-176, April.
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    Cited by:

    1. Moldavskaya, Elina & Shinar, Josef, 2015. "Distribution of the zero-effort miss distance estimation error in interception problems," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 217-231.
    2. V. Y. Glizer & V. Turetsky, 2008. "On the Inverse Problem for Robust Capture Zone Construction," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 381-400, May.

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    More about this item

    Keywords

    Interception problem; differential game of pursuit; maximal capture zone; saturation; continuous feedback control; chattering; Subject Classification: 91A24 (49N75); Subject Classification: 91A23 (49N70);
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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