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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 10, Pages 1756–1765
(Mi zvmmf577)
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Algorithm for solving a linear optimal control problem with minimax performance index
M. Aidenea, I. L. Vorob'ëvb, B. Oukachaa a Department of Mathematics, University of Tizi Ouzou Algeria
b Belarussian State University of Computer Science and Radioelectronic Engineering
Abstract:
The optimal control problem for a linear system with direct constraints imposed on the control and terminal constraints imposed on the trajectory is investigated. The quality of the control is evaluated by a terminal minimax criterion. A two-stage algorithm for solving the problem is described, and a numerical example is given. The applicability of the algorithm's second stage to the correction of the solution under variations in the parameters of the original problem is discussed.
Received: 20.12.2004
Citation:
M. Aidene, I. L. Vorob'ëv, B. Oukacha, “Algorithm for solving a linear optimal control problem with minimax performance index”, Zh. Vychisl. Mat. Mat. Fiz., 45:10 (2005), 1756–1765; Comput. Math. Math. Phys., 45:10 (2005), 1691–1700
Linking options:
https://www.mathnet.ru/eng/zvmmf577 https://www.mathnet.ru/eng/zvmmf/v45/i10/p1756
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