Abstract:
For a class of nonlinear control systems with constrained control, we consider a terminal control problem of reaching a target point in which the initial point of the process and the vector of parameters of the system belong to known sets and there is no information on which point from the set of initial states is true and which parameter of the system from the set of parameters is true. We establish sufficient conditions for the existence of a solution to the problem in the class of guaranteeing program packages of Yu.S. Osipov and A.V. Kryazhimskiy. We also present the results of calculation of a model example.
Citation:
N. L. Grigorenko, A. E. Rumyantsev, “On a class of control problems with incomplete information”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 76–85; Proc. Steklov Inst. Math., 291 (2015), 68–77
\Bibitem{GriRum15}
\by N.~L.~Grigorenko, A.~E.~Rumyantsev
\paper On a class of control problems with incomplete information
\inbook Optimal control
\bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 291
\pages 76--85
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3671}
\crossref{https://doi.org/10.1134/S037196851504007X}
\elib{https://elibrary.ru/item.asp?id=24776664}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 291
\pages 68--77
\crossref{https://doi.org/10.1134/S0081543815080076}
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https://www.mathnet.ru/eng/tm3671
https://doi.org/10.1134/S037196851504007X
https://www.mathnet.ru/eng/tm/v291/p76
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