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On optimality conditions for the guaranteed result in control problems for time-delay systems

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Abstract

For control problems under disturbance of dynamical systems described by differential equations with discrete and distributed time delays and with initial data satisfying the Lipschitz property, the corresponding Lipschitzness of the optimal guaranteed result functional is established and inequalities for its directional derivatives are obtained.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Division of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    N. Yu. Lukoyanov

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  1. N. Yu. Lukoyanov
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Correspondence to N. Yu. Lukoyanov.

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Original Russian Text © N.Yu. Lukoyanov, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Vol. 15, No. 3.

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Lukoyanov, N.Y. On optimality conditions for the guaranteed result in control problems for time-delay systems. Proc. Steklov Inst. Math. 268 (Suppl 1), 175–187 (2010). https://doi.org/10.1134/S0081543810050135

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  • DOI: https://doi.org/10.1134/S0081543810050135

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