АСИМПТОТИЧЕСКИЕ ОЦЕНКИ РЕШЕНИЯ СИНГУЛЯРНО ВОЗМУЩЕННОЙ ЗАДАЧИ ОПТИМАЛЬНОГО УПРАВЛЕНИЯ НА ОТРЕЗКЕ С ГЕОМЕТРИЧЕСКИМИ ОГРАНИЧЕНИЯМИ

科研成果: Article同行评审

摘要

An optimal control problem is considered for solutions of a boundary value problem for a second-order ordinary differential equation on a closed interval with a small parameter at the second derivative. The control is scalar and satisfies geometric constraints. General theorems on approximation are obtained. Two leading terms of an asymptotic expansion of the solution are constructed and an error estimate is obtained for these approximations.
投稿的翻译标题Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints
源语言Russian
页(从-至)104-112
页数9
期刊Труды института математики и механики УрО РАН
19
3
Published - 2013

GRNTI

  • 27.00.00 MATHEMATICS

Level of Research Output

  • VAK List

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