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Application of the Variational Method for Solving Inverse Problems of Optimal Control

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Abstract

For optimal control problems, a new approach based on the search for an extremum of a special functional is proposed. The differential problem is reformulated as an ill-posed variational inverse problem. Taking into account ill-posedness leads to a stable numerical minimization procedure. The method developed has a high degree of generality, since it allows one to find special controls. Several examples of interest concerning the solution of classical optimal control problems are considered.

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Correspondence to V. V. Ternovskii.

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Original Russian Text © V.V. Ternovskii, M.M. Khapaev, T.M. Khapaeva, 2018, published in Doklady Akademii Nauk, 2018, Vol. 483, No. 4.

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Ternovskii, V.V., Khapaev, M.M. & Khapaeva, T.M. Application of the Variational Method for Solving Inverse Problems of Optimal Control. Dokl. Math. 98, 603–606 (2018). https://doi.org/10.1134/S1064562418070219

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  • DOI: https://doi.org/10.1134/S1064562418070219

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