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.
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Original Russian Text © V.R. Barseghyan, 2018, published in Avtomatika i Telemekhanika, 2018, No. 4, pp. 19–30.
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Barseghyan, V.R. The Control Problem for Stage-by-Stage Changing Linear Systems of Loaded Differential Equations. Autom Remote Control 79, 594–603 (2018). https://doi.org/10.1134/S0005117918040021
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DOI: https://doi.org/10.1134/S0005117918040021