Abstract
This paper is dedicated to designing approximate methods of solving discrete optimal control problems with network structure; the methods involve sufficient optimality conditions derived by V.F. Krotov.
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Baturin, V.A. and Urbanovich, D.E., Priblizhennye metody optimal’nogo upravleniya, osnovannye na printsipe rasshireniya (Approximate Optimal Control Methods Based on the Extension Principle), Novosibirsk: Nauka, 1997.
Baturin, V.A. and Lempert, A.A., Weak Improvement Methods in Optimal Control Problem over Operators Network, Trudy mezhd. konf. “Vychislitel’nye i informatsionnye tekhnologii v nauke i obrazovanii” (Proc. Int. Conf. “Computing and Information Technology in Science and Education”), Pavlodar, 2006, vol. 2, pp. 76–87.
Krotov, V.F. and Gurman, V.I., Metody i zadachi optimal’nogo upravleniya (Methods and Problems of Optimal Control), Moscow: Nauka, 1973.
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Original Russian Text © V.A. Baturin, A.A. Lempert, 2010, published in Upravlenie Bol’shimi Sistemami, 2010, No. 30.1, pp. 11–21.
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Baturin, V.A., Lempert, A.A. Improving method for discrete control system with network structure. Autom Remote Control 72, 1994–2000 (2011). https://doi.org/10.1134/S0005117911090190
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DOI: https://doi.org/10.1134/S0005117911090190