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A Local Variational Problem of Second Order for a Class of Optimal Control Problems with Nonsmooth Objective Function

P. 1–6.
Afanasiev A., Putilina E.

An optimal control problem with a nonsmooth objective function defined on a polytope is studied. A scheme reducing the original problem to the problem of maximizing the sum of matrix elements lying above the main diagonal is constructed. Necessary conditions of optimality for this finite-dimensional optimization problem are established. A method of searching for the global maximum is suggested.

Language: English
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Keywords: optimal control problem nonsmooth objective functionоптимальное управление негладкая целевая функция

In book

Yu. G. Evtushenko, M. Yu. Khachay, O. V. Khamisov, Yu. A. Kochetov, V.U. Malkova, M.A. Posypkin (eds.): Proceedings of the OPTIMA-2017 Conference, Petrovac, Montenegro, 02-Oct-2017, published at http://ceur-ws.org
Sigmaringen: CEUR Workshop Proceedings, 2017.
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