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Necessary Optimality Conditions for an Optimal Control Problem Governed by an Inclusion with Discontinuous Right-Hand Side

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10130918" target="_blank" >RIV/00216208:11320/12:10130918 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Necessary Optimality Conditions for an Optimal Control Problem Governed by an Inclusion with Discontinuous Right-Hand Side

  • Original language description

    We deal with an optimal control problem of the Bolza type, where the controlled system is governed by a generalized sweeping process, which is a special differential inclusion with discontinuous right-hand side. Employing a suitable constraint qualification, we restate the problem using distance functions and use the fuzzy sum rule to obtain fuzzy optimality conditions. Furthermore, we derive pointwise optimality conditions around a local minimum and discuss the possibility of letting the fuzzy parameter converge to zero to derive optimality conditions at a local minimum.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 20th Annual Conference of Doctoral Students - WDS 2012

  • ISBN

    978-80-7378-224-5

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    7-12

  • Publisher name

    MATFYZPRESS

  • Place of publication

    Prague

  • Event location

    Praha

  • Event date

    May 29, 2012

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article