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Izvestiya: Mathematics, 2006, Volume 70, Issue 1, Pages 121–152
DOI: https://doi.org/10.1070/IM2006v070n01ABEH002306
(Mi im594)
 

This article is cited in 15 scientific papers (total in 15 papers)

Relaxation in control systems of subdifferential type

A. A. Tolstonogov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: In a separable Hilbert space we consider a control system with evolution operators that are subdifferentials of a proper convex lower semicontinuous function depending on time. The constraint on the control is given by a multivalued function with non-convex values that is lower semicontinuous with respect to the variable states. Along with the original system we consider the system in which the constraint on the control is the upper semicontinuous convex-valued regularization of the original constraint. We study relations between the solution sets of these systems. As an application we consider a control variational inequality. We give an example of a control system of parabolic type with an obstacle.
Received: 01.12.2004
Bibliographic databases:
UDC: 517.988
Language: English
Original paper language: Russian
Citation: A. A. Tolstonogov, “Relaxation in control systems of subdifferential type”, Izv. Math., 70:1 (2006), 121–152
Citation in format AMSBIB
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\by A.~A.~Tolstonogov
\paper Relaxation in control systems of subdifferential type
\jour Izv. Math.
\yr 2006
\vol 70
\issue 1
\pages 121--152
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  • https://doi.org/10.1070/IM2006v070n01ABEH002306
  • https://www.mathnet.ru/eng/im/v70/i1/p129
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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