Abstract
In this paper, we obtain optimality conditions in an optimal control problem with pointwise phase constraints of the equality and inequality types treated as constraints in a Hilbert space. The main results of this work are the regularized Lagrange principle stable under errors of source data and the pointwise Pontryagin maximum principle in the iterative form, which, in turn, yield a functional method of constructing a minimizing approximate solution to the problem considered.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 171, Proceedings of the Voronezh Winter Mathematical School “Modern Methods of Function Theory and Related Problems,” Voronezh, January 28 – February 2, 2019. Part 2, 2019.
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Kuterin, F.A., Evtushenko, A.A. Stable Sequential Pontryagin Maximum Principle in Optimal Control Problems with Phase Restrictions. J Math Sci 263, 698–709 (2022). https://doi.org/10.1007/s10958-022-05960-3
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DOI: https://doi.org/10.1007/s10958-022-05960-3