Abstract
Consideration was given to the problem of optimal control of the logic-dynamic (mixed discrete-continuous in time and controllable) systems. A second-order improvement algorithm was developed for it on the basis of the Krotov sufficient optimality conditions. Examples were given.
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Bortakovskij, A.S. and Panteleev, A.V., Sufficient Conditions of Optimal Control of Continuous-Discrete Systems, Autom. Remote Control, 1987, no. 7, pp. 880–887.
Bortakovskij, A.S., Sufficient Conditions for Optimal Control of the Deterministic Logic-Dynamic Systems, Informatika. Ser. Avtomatizatsiya proektirovaniya, 1992, no. 2–3, Moscow: VNIMI, pp. 16–22.
Bortakovskij, A.S., Sufficient Conditions for Optimality of the Automatic Part of the Logic-Dynamic System, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2006, no. 6, pp. 77–92.
Semenov, V.V., Dynamic Programming of the Design of Logic-Dynamic Systems, Priborostroenie, 1984, no. 2, pp. 24–31.
Krotov, V.F., Global Methods in Optimal Control Theory, New York: Marcel Dekker, 1996.
Krotov, V.F. and Gurman, V.I., Metody i zadachi optimal’nogo upravleniya (Optimal Control: Methods and Problems), Moscow: Nauka, 1973.
Gurman, V.I., Printsip rasshireniya v zadachakh upravleniya (Principle of Extension in the Problems of Control), Moscow: Nauka, 1997.
Baturin, V.A. and Urbanovich, D.E., Priblizhennye metody optimal’nogo upravleniya, osnovannye na printsipe rasshireniya (Extension-based ApproximateMethods of Optimal Control), Novosibirsk: Nauka, 1997.
Jacobson, D.H., New Second-order and First-order Algorithms for Determining Optimal Control. A Differential Programming Approach, J. Optim. Theory Appl., 1968, vol. 2, no. 4, pp. 431–440.
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Original Russian Text © V.A. Baturin, N.S. Maltugueva, 2011, published in Avtomatika i Telemekhanika, 2011, No. 4, pp. 144–154.
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Baturin, V.A., Maltugueva, N.S. Second-order improvement method to solve problems of optimal control of the logic-dynamic systems. Autom Remote Control 72, 808–817 (2011). https://doi.org/10.1134/S0005117911040114
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DOI: https://doi.org/10.1134/S0005117911040114