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 in:	SIAM journal on control and optimization Vol. 18; no. 4; pp. 391 - 419
Main Authors:	Van Harten, Aart, Schumacher, Hans
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.07.1985
Subjects:	Partial differential equations
ISSN:	0363-0129, 1095-7138
Online Access:	Get full text
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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 content type line 14
ISSN:	0363-0129 1095-7138
DOI:	10.1137/0318030