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Simulation of Optimal Stochastic Control Strategies by Maximum Principle

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F10%3A00172801" target="_blank" >RIV/68407700:21230/10:00172801 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Simulation of Optimal Stochastic Control Strategies by Maximum Principle

  • Original language description

    The Pontrjagin maximum principle solves the problem of optimal control of a continuous deterministic system. The discrete maximum principle solves the problem of optimal control of a discrete-time deterministic system. The maximum principle changes the problem of optimal control to a two point boundary value problem which can be completely solved only in special tasks. Optimal control of stochastic systems or even systems with probabilistic parameters is usually derived using stochastic dynamic programming. In the paper an alternative approach based on a stochastic modification of the maximum principle is presented, both for continuous and discrete-time systems. Cautious and certainty equivalent optimal control strategies are then derived using this method and the results are consistent with those achieved by stochastic dynamic programming. Finally, simulations of these optimal control strategies are presented and compared in terms of control quality.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • 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 Third IASTED African Conference on Modelling and Simulation

  • ISBN

    978-0-88986-848-9

  • ISSN

    1922-8058

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • Publisher name

    ACTA Press

  • Place of publication

    Anaheim

  • Event location

    Gaborone

  • Event date

    Sep 6, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article