Abstract
An iterative method for process optimization in the state-linear discrete-continuous systems was proposed on the basis of the sufficiency conditions and the minimax scheme of nonlocal improvement. For the discrete systems, in particular, it was reduced to an essentially new method. Consideration was given to the possibility of applying it to the general nonlinear systems through approximation by systems of the class under consideration. Examples were presented.
Similar content being viewed by others
References
Teoriya sistem s peremennoi strukturoi (Theory of Variable-structure Systems), Emel’yanov, S.V., Ed., Moscow: Nauka, 1970.
Gurman, V.I., Theory of Optimum Discrete Process, Autom. Remote Control, 1973, vol. 34, no. 7, part 1, pp. 1082–1087.
Gabelko, K.N., Gradual Improvement of Multistage Process, Autom. Remote Control, 1974, vol. 35, no. 12, part 1, pp. 1937–1945.
Gurman, V.I., Baturin, V.A., and Rasina, I.V., Priblizhennye metody optimal’nogo upravleniya (Approximate Methods of Optimal Control), Irkutsk: Irkut. Univ., 1983.
Gurman, V.I. and Rasina, I.V., Methods to Solve the Optimal Control Problems on the Basis of the Extension Principle, in Slozhnye protsessy (Complex Processes), Novosibirsk: Nauka, 1990, pp. 84–94.
Gurman, V.I. and Rasina, I.V., Discrete-continuous Representations of Impulsive Processes in the Controllable Systems, Autom. Remote Control, 2012, vol. 73, no. 8, pp. 1290–1300.
Rasina, I.V., Iterative Optimization Algorithms for Discrete-Continuous Processes, Autom. Remote Control, 2012, vol. 73, no. 10, pp. 1591–1603.
Krotov, V.F. and Fel’dman, I.N., Iterative Method to Solve the Optimal Control Problems, Tekh. Kibern., 1983, no. 2, pp. 160–168.
Krotov, V.F., Global Methods in Optimal Control Theory, New York: Marcel Dekker, 1996.
Gurman, V.I., Abstract Problems of Optimization and Improvement, Programmnye sistemy: teoriya i prilozheniya, electronic journal, 2011, no. 5(9), pp. 21–29, URL: http://psta.psiras.ru/read/psta2011521-29.pdf.
Gurman, V.I., Printsip rasshireniya v zadachakh upravleniya (Principle of Extension in the Control Problems), Moscow: Nauka, 1985.
Author information
Authors and Affiliations
Additional information
Original Russian Text © I.V. Rasina, O.V. Baturina, 2013, published in Avtomatika i Telemekhanika, 2013, No. 4, pp. 80–90.
Rights and permissions
About this article
Cite this article
Rasina, I.V., Baturina, O.V. Optimization of state-linear discrete-continuous systems. Autom Remote Control 74, 604–612 (2013). https://doi.org/10.1134/S0005117913040048
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117913040048