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2000 Exact controllability of a thermoelastic system with control in the thermal component only
George Avalos
Differential Integral Equations 13(4-6): 613-630 (2000).

Abstract

In this work we give a result of exact controllability for a thermoelastic system in which the control term is placed solely in the thermal equation. With such an indirect control input, one is able to control exactly the displacement of the plate, as well as the temperature. This exact controllability occurs in arbitrarily small time. In the case that the moment of inertia parameter for the plate is absent (i.e., $\gamma =0$ below), then one is provided here with a result of exact controllability for a thermoelastic system which is modelled by the generator of an analytic semigroup. The proof here depends upon a multiplier method so as to attain the associated observability inequality. The particular multiplier invoked is of an operator theoretic nature, and has been used previously by the author in deriving stability results for this partial differential equation model.

Citation

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George Avalos. "Exact controllability of a thermoelastic system with control in the thermal component only." Differential Integral Equations 13 (4-6) 613 - 630, 2000.

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 0970.93002
MathSciNet: MR1750042

Subjects:
Primary: 93B05
Secondary: 35B37, 74F05, 74M05, 93C20

Rights: Copyright © 2000 Khayyam Publishing, Inc.

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Vol.13 • No. 4-6 • 2000
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