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Avtomatika i Telemekhanika, 2018, Issue 4, Pages 19–30 (Mi at14740)  
Linear Systems

The control problem for stage-by-stage changing linear systems of loaded differential equations

V. R. Barseghyanab

a Yerevan State University, Yerevan, Armenia
b Institute of Mechanics of the National Academy of Sciences of Armenia, Yerevan, Armenia
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Abstract: We consider the control problem for stage-by-stage changing linear differential equations and the optimal control problem with a quality criterion defined for the entire time interval. We formulate necessary and sufficient conditions for complete controllability and the existence of a program control and motion. We construct an explicit form of the control action for the control problem and propose a method for solving the optimal control problem. We give a solution of the control problem for a specific loaded system.
Keywords: stage-by-stage changing systems, loaded differential equations, control, complete controllability.
Presented by the member of Editorial Board: A. G. Kushner

Received: 03.04.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 4, Pages 594–603
DOI: https://doi.org/10.1134/S0005117918040021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. R. Barseghyan, “The control problem for stage-by-stage changing linear systems of loaded differential equations”, Avtomat. i Telemekh., 2018, no. 4, 19–30; Autom. Remote Control, 79:4 (2018), 594–603
Citation in format AMSBIB
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