Control of stage by stage changing linear dynamic systems

Authors

  • V.R. Barseghyan Yerevan State University Armenia, Armenia, Yerevan

DOI:

https://doi.org/10.2298/YJOR111019002B

Keywords:

Control problem, optimal control, dynamic system, stage by stage changing

Abstract

In this paper, the control problems of linear dynamic systems stage by stage changing and the optimal control with the criteria of quality set for the whole range of time intervals are considered. The necessary and sufficient conditions of total controllability are also stated. The constructive solving method of a control problem is offered, as well as the definitions of conditions for the existence of programmed control and motions. The explicit form of control action for a control problem is constructed. The method for solving optimal control problem is offered, and the solution of optimal control of a specific target is brought.

References

Arutyunov, A.V., and Okoulevitch, A.I., “Necessary optimality conditions for optimal control problems with intermediate constraints”, Journ. of Dynamical and Control Systems, 4 (1) (1998) 49-58.

Matveikin, V.G., and Muromcev, D.U., Theory of Energy-Efficient Control of the Dynamic Conditions of Production-Technological Purpose Apparatus, Moscow, 2007. (in Russian)

Pontrjagin, L.S., and others, Mathematical Theory of Optimal Processes, Nauka, Moscow, 1969. (in Russian)

Krasovski, N.N., Theory of Movement Control, Nauka, Moscow, 1968. (in Russian)

Zubov, V.I., Lectures on the Theory of Control, Nauka, Moscow, 1975. (in Russian)

Vereschagin, E.F., “Investigation methods of the flight regimes of variable mass devices”, Mechanics of the programmed movement of device, (2) Perm, 1972. (in Russian)

Barseghyan, V.R., “About an optimal control problem of changing linear systems in discrete steps with phase restrictions during the intermediate moments of time”, Scientific notes Yerevan State University, 1 (2002) 118-119. (in Russian)

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Published

2012-03-01

Issue

Vol. 22 No. 1 (2012)

Section

Research Articles

License

Copyright (c) 2012 YUJOR

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