Publicado 12 números por año
ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337
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On Solving of a Special Optimization Problem Connected with Determination of Invariant Sets of Dynamical Systems
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SINOPSIS
Problem of nonconvex optimization, which is met on control synthesis and minimizes domain of localization of invariant set of nonlinear systems, is considered. For this problem solving we use equivalent to it quadratic problem, for determination of the lowest estimate of optimal value of the objective function dual approach is used. We state and prove sufficient condition for the property that the mentioned approach gives optimal value of the objective function and the point of global extremum of the initial problem.
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Berezovskyi O. A., Exactness Criteria for SDP-Relaxations of Quadratic Extremum Problems, Cybernetics and Systems Analysis, 52, 6, 2016. Crossref
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Berezovskyi Oleg, Improving Lagrange Dual Bounds for Quadratic Extremal Problems, Cybernetics and Computer Technologies, 1, 2020. Crossref
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Berezovskyi O. A., Exact Dual Bounds for Some Nonconvex Minimax Quadratic Optimization Problems, Cybernetics and Systems Analysis, 57, 1, 2021. Crossref