Abstract
In the general vein of V.F. Krotov’s theory, we formulate an approach to nonlocal improvement based on sufficient optimality and improvement conditions. We propose constructive approaches to specifying the resolving function that realizes Krotov’s approach for arbitrary systems via linear partial differential equations and their discrete counterparts, namely linear recurrent relations. Examples are given.
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Krotov, V.F. and Fel’dman I.N., An Iterative Method for Solving Optimal Control Problems, Izv. Akad. Nauk SSSR, Tekhn. Kibern., 1983, no. 2, pp. 160–168.
Krotov, V.F., Global Methods in Optimal Control Theory, New York: Marcel Dekker, 1996.
Krotov, V.F., On Control Optimization in Quantum Systems, Dokl. Ross. Akad. Nauk, 2008, vol. 423, no. 3, pp. 316–319.
Krotov, V.F., Control of the Quantum Systems and Some Ideas of the Optimal Control Theory, Autom. Remote Control, 2009, vol. 70, no. 3, pp. 357–365.
Krotov, V.F. and Gurman, V.I., Metody i zadachi optimal’nogo upravleniya (Methods and Problems of Optimal Control), Moscow: Nauka, 1973.
Gurman, V.I., Printsip rasshireniya v zadachakh upravleniya (Extension Principle in Control Problems), Moscow: Nauka, 1997.
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Original Russian Text © E.A. Trushkova, 2011, published in Avtomatika i Telemekhanika, 2011, No. 6, pp. 151–159.
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Trushkova, E.A. Global control improvement algorithms. Autom Remote Control 72, 1282–1290 (2011). https://doi.org/10.1134/S0005117911060166
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DOI: https://doi.org/10.1134/S0005117911060166