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IssuesArchive of Issues2018-6pp.615-622

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V.R. Barseghyan, "The Control Problem for Stepwise Changing Linear Systems of Loaded Differential Equations with Unseparated Multipoint Intermediate Conditions," Mech. Solids. 53 (6), 615-622 (2018)
Year 2018 Volume 53 Number 6 Pages 615-622
DOI 10.3103/S0025654418060031
Title The Control Problem for Stepwise Changing Linear Systems of Loaded Differential Equations with Unseparated Multipoint Intermediate Conditions
Author(s) V.R. Barseghyan (Yerevan State University, Alex Manoogian str. 1, Yerevan, 0025 Armenia; Institute of Mechanics of NAS RA, Marshal Baghramian ave. 24 B, Yerevan, 0019 Armenia, barseghyan@sci.am)
Abstract The control problem for stepwise changing linear systems of loaded differential equations with given initial, final, and nonseparated (non-local) multipoint intermediate conditions and optimal control with a quality criterion specified for the entire time interval is considered. The necessary and sufficient condition for the complete controllability, the conditions for the existence of programmed control and motion, are formulated. An explicit form of control action is constructed for the control problem, and a method for solving the optimal control problem is proposed.
Keywords stepwise changing systems, loaded differential equations, unseparated multipoint conditions, control, complete controllability
References
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Received 12 April 2017
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