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.
Citation:
N. Yu. Lukoyanov, “On optimality conditions for the guaranteed result in control problems for time-delay systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 3, 2009, 158–169; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S175–S187
\Bibitem{Luk09}
\by N.~Yu.~Lukoyanov
\paper On optimality conditions for the guaranteed result in control problems for time-delay systems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 3
\pages 158--169
\mathnet{http://mi.mathnet.ru/timm413}
\elib{https://elibrary.ru/item.asp?id=12834739}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 268
\issue , suppl. 1
\pages S175--S187
\crossref{https://doi.org/10.1134/S0081543810050135}
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Linking options:
https://www.mathnet.ru/eng/timm413
https://www.mathnet.ru/eng/timm/v15/i3/p158
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