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The Stochastic Coverings Algorithm for Solving Applied Optimal Control Problems

Авторы: GornovA., Zarodnyuk T., Anikin A., Sorokovikov P.

Журнал: Communications in Computer and Information Science, International Conference on Mathematical Optimization Theory and Operations Research MOTOR 2019

Том: 1090

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Год: 2019

Отчётный год: 2019

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Аннотация: The paper considers a heuristic method for a global extremum search in an optimal control problem based on the idea of covering a reachable set by n-dimensional balls, including the built-in mechanisms for Lipschitz constant estimating of the objective functional. A step-by-step description of the coverage algorithm and the proposed method for generating start and auxiliary controls are presented. The proposed technique was used for solving applied optimal control problems: the problem of investment programs in Buryatia Republic and the problem of restoring the Black Lands in Kalmykia.

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