Well-Posedness of Some Evolution Problems in the Theory of Automatic Feed-Back Control for Systems with Distributed Parameters

The subject of this paper is the evolution, in time, of systems of diffusion type controlled by an automatic feed-back mechanism using a finite number of observators and control-inputs. For the initial-boundary value problem for a functional partial differential equation of parabolic type, which the...

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Bibliographic Details
Published inSIAM journal on control and optimization Vol. 18; no. 4; pp. 391 - 419
Main Authors Van Harten, Aart, Schumacher, Hans
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.07.1985
Subjects
Partial differential equations
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ISSN0363-0129
1095-7138
DOI10.1137/0318030

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Summary:The subject of this paper is the evolution, in time, of systems of diffusion type controlled by an automatic feed-back mechanism using a finite number of observators and control-inputs. For the initial-boundary value problem for a functional partial differential equation of parabolic type, which the state variable has to satisfy, the following types of questions are considered: existence, uniqueness, regularity and continuous dependence on data of a solution. Answers to these questions are given in function spaces of Holder and Sobolev type.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0363-0129
1095-7138
DOI:10.1137/0318030