Počet záznamů: 1
On optimal control of a sweeping process coupled with an ordinary differential equation
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SYSNO ASEP 0434417 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On optimal control of a sweeping process coupled with an ordinary differential equation Tvůrce(i) Adam, Lukáš (UTIA-B)
Outrata, Jiří (UTIA-B) RID, ORCIDCelkový počet autorů 2 Zdroj.dok. Discrete and Continuous Dynamical Systems-Series B. - : AIMS Press - ISSN 1531-3492
Roč. 19, č. 9 (2014), s. 2709-2738Poč.str. 30 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova optimal control ; variational inequality ; variational analysis ; coderivative ; solution map ; queuing theory Vědní obor RIV BA - Obecná matematika CEP GAP201/12/0671 GA ČR - Grantová agentura ČR Institucionální podpora UTIA-B - RVO:67985556 UT WOS 000341776500001 EID SCOPUS 84907249388 DOI 10.3934/dcdsb.2014.19.2709 Anotace We study a special case of an optimal control problem governed by a differential equation and a differential rate-independent variational inequality, both with given initial conditions. Under certain conditions, the variational inequality can be reformulated as a differential inclusion with discontinuous right-hand side. This inclusion is known as sweeping process. We perform a discretization scheme and prove the convergence of optimal solutions of the discretized problems to the optimal solution of the original problem. For the discretized problems we study the properties of the solution map and compute its coderivative. Employing an appropriate chain rule, this enables us to compute the subdifferential of the objective function and to apply a suitable optimization technique to solve the discretized problems. The investigated problem is used to model a situation arising in the area of queuing theory. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2015
Počet záznamů: 1