Geodesic
On the optimal synthesis problem for control systems
The Bulletin of Irkutsk State University. Series Mathematics, Tome 14 (2015), pp. 55-63

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Optimal synthesis problem to linear indeterminate dynamic systems is under consideration. The concept of classical optimal feedback, optimal unclosable feedback and repeatedly closable feedbacks are introduced. Algorithms of forming real-time control actions are justified.
Keywords: linear systems, optimal control, synthesis, feedback, algorithms. 
R. Gabasov; F. M. Kirillova. On the optimal synthesis problem for control systems. The Bulletin of Irkutsk State University. Series Mathematics, Tome 14 (2015), pp. 55-63. http://geodesic.mathdoc.fr/item/IIGUM_2015_14_a4/
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[1] Bellman R., Adaptive control processes, Princeton University Press, 1961 | Zbl

[2] Gabasov R., Kirillova F. M., “Real-time control and observation (servey)”, J. Computer and Systems Sciences Intern., 45:3 (2006), 421–441 | DOI | MR | Zbl

[3] Gabasov R., Kirillova F. M., Pavlenok N. S., “Optimal control of a dynamic system using perfect measurements of its states”, Doklady Mathematics, 85:3 (2012), 436–440 | DOI | MR | Zbl

[4] Gabasov R., Kirillova F. M., Poyasok E. I., “Real-time optimal observation of a linear dynamic system”, Doklady Mathematics, 87:1 (2013), 120–123 | DOI | DOI | MR | Zbl

[5] Gabasov R., Kirillova F. M., Vo Thi Thanh Ha, “Optimal real-time control of multidimensional dynamic plants”, Automation and Remote control, 76:1 (2015), 98–110 | DOI | MR | Zbl

[6] Gabasov R., Kirillova F. M., Poyasok E. I., “Real-time optimal control”, Izvestia of the Irkutsk State University. Mathematics, 2:3 (2009), 132–169 (in Russian)

[7] Krasovskii N. N., Dynamic system control, Nauka, M., 1985, 520 pp. (in Russian) | MR

[8] Lerner A. Ya., “On time-optimality of automatic control systems”, Automation and Remote Control, 15:6 (1954), 461–477 (in Russian)

[9] Letov A. M., “Analytical design of regulators”, Automation and Remote Control, 21:4 (1960), 436–441 (in Russian) | Zbl

[10] Leondes C. T. (ed.), Control and dynamic systems, Academic Press, New York–San Francisko–London, 1976, 404 pp. | MR | Zbl

[11] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mishchenko E. F., Mathematical theory of optimal processes, Nauka, M., 1961, 392 pp. (in Russian) | MR

[12] Feldbaum A. A., Fundamentals of the theory of optimal automatic systems, Fizmatgiz, M., 1963, 552 pp. (in Russian) | MR

[13] Feldbaum A. A., “Optimal processes of automatic system regulation”, Automation and Remote Control, 14:5 (1953), 712–728 (in Russian)

[14] D. W. Bushaw, Experimental towing tank, Report No 469, Stevens Institute of Technology, Hobonen, N.J., 1953, 80 pp.

[15] R. Gabasov, F. M. Kirillova, “Optimal feedbacks controls and related topics”, Abstracts of the Workshop on Geometric Methods in Nonlinear Optimal Control (Hungary–Austria, Sopron-Laxenburg, July 22–26, 1991), 11–12

[16] R. E. Kalman, R. W. Koepke, “Optimal synthesis of linear sampling control systems generalized performance index”, Trans. ASME, 80 (1958), 1820–1826

[17] A. M. Hopkin, “A phase plan approach to the compensation of saturating servomechanisms”, Trans. AIEE, 70:1 (1951), 631–639