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Robust Route Realization by Linear-Quadratic Tracking

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  • Vladimir Turetsky

    (Ort Braude College)

Abstract

The problem of a prescribed discrete route realization by a controlled linear system in the presence of unknown bounded disturbance is considered. The problem is solved based on an auxiliary cheap control linear-quadratic differential game. Novel solvability conditions are established. A numerical example is presented.

Suggested Citation

  • Vladimir Turetsky, 2016. "Robust Route Realization by Linear-Quadratic Tracking," Journal of Optimization Theory and Applications, Springer, vol. 170(3), pages 977-992, September.
    • Handle: RePEc:spr:joptap:v:170:y:2016:i:3:d:10.1007_s10957-016-0931-0
    DOI: 10.1007/s10957-016-0931-0
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    References listed on IDEAS

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    1. Josef Shinar & Vladimir Turetsky & Valery Y. Glizer & Eduard Ianovsky, 2008. "Solvability Of Linear-Quadratic Differential Games Associated With Pursuit-Evasion Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 481-515.
    2. Vladimir Turetsky & Valery Y. Glizer & Josef Shinar, 2014. "Robust trajectory tracking: differential game/cheap control approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(11), pages 2260-2274, November.
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