Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod
https://doi.org/10.18255/1818-1015-2014-5-78-92
Abstract
An initial-boundary problem modelling the rotation of discrete-continuum mechanical system, which consists from a solid and the rigidly connected flexible rod. To solve the problem we determine a solution notion, prove its existence, uniqueness, and continuous dependence from start conditions and parameters of the boundary task. Are resolved tasks of solution rotation from the start phase state to the finish one at a specified time moment and with the controller function norm minimum in the L∞(0, T) space and time control problem with a limited norm of controller function in the specified space. Maximum principe was formulated, and an algorithm of optimal control modelling is proposed. The moments problem is used as an investigation method.
About the Authors
E. P. Kubyshkin
P.G. Demidov Yaroslavl State University
Russian Federation
д-р. физ.-мат. наук, профессор кафедры математического моделирования, Sovetskaya str., 14, Yaroslavl, 150000, Russia
Russian Federation
д-р. физ.-мат. наук, профессор кафедры математического моделирования, Sovetskaya str., 14, Yaroslavl, 150000, Russia
M. S. Tryakhov
P.G. Demidov Yaroslavl State University
Russian Federation
аспирант кафедры математического моделирования, Sovetskaya str., 14, Yaroslavl, 150000, Russia
Russian Federation
аспирант кафедры математического моделирования, Sovetskaya str., 14, Yaroslavl, 150000, Russia
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Review
For citations:
Kubyshkin E.P., Tryakhov M.S. Optimal Behavior Control of an Initial-Boundary Problem Solution Modelling Rotation of a Solid Body with the Flexible Rod. Modeling and Analysis of Information Systems. 2014;21(5):78-92. (In Russ.) https://doi.org/10.18255/1818-1015-2014-5-78-92
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