On the controllability of a string with restrained controls (Q1804747)
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scientific article; zbMATH DE number 755490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the controllability of a string with restrained controls |
scientific article; zbMATH DE number 755490 |
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On the controllability of a string with restrained controls (English)
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15 May 1995
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The paper considers the equation of a flexible string along a finite segment, fixed at the two ends and subject to control at some interior point. The problem of controllability has been investigated previously in the case when the control runs over the full space of controls. This paper is concerned with the case when only some subset of the space of controls is allowed. Approximate local controllability versus global controllability are discussed. Necessary and sufficient conditions are derived via a discretization method with respect to time in an abstract Hilbert space.
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constrained control
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flexible string
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controllability
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Hilbert space
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