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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| Vydáno v: | SIAM journal on control and optimization Ročník 18; číslo 4; s. 391 - 419 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Philadelphia
Society for Industrial and Applied Mathematics
01.07.1985
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| Témata: | |
| ISSN: | 0363-0129, 1095-7138 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | 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. |
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| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 content type line 14 |
| ISSN: | 0363-0129 1095-7138 |
| DOI: | 10.1137/0318030 |