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This article is cited in 17 scientific papers (total in 17 papers)
On solving approach problems for control systems
V. N. Ushakovab, V. I. Ukhobotovc, A. V. Ushakova, G. V. Parshikova a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg, Russia
c Chelyabinsk State University, Chelyabinsk, Russia
Abstract:
We study the problem of making a control system in a finite-dimensional Euclidean space approach a compact set at a fixed instant of time. The technique presented in the paper for solving the approach problem is based on constructions involving solvability sets. To construct approximately the solvability set, we apply a backward (in time) procedure that involves storing controls selected during the construction of this set. We also give examples of simulation of approach problems for mechanical systems.
Received: August 15, 2015
Citation:
V. N. Ushakov, V. I. Ukhobotov, A. V. Ushakov, G. V. Parshikov, “On solving approach problems for control systems”, 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, 276–291; Proc. Steklov Inst. Math., 291 (2015), 263–278
Linking options:
https://www.mathnet.ru/eng/tm3681https://doi.org/10.1134/S0371968515040214 https://www.mathnet.ru/eng/tm/v291/p276
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