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Article Dans Une Revue Systems and Control Letters Année : 2006

Uniform controllability of semidiscrete approximations of parabolic control systems

Stéphane Labbé
EDP

Résumé

Controlling an approximation model of a controllable infinite dimensional linear control system does not necessarily yield a good approximation of the control needed for the continuous model. In the present paper, under the main assumptions that the discretized semigroup is uniformly analytic, and that the control operator is mildly unbounded, we prove that the semidiscrete approximation models are uniformly controllable. Moreover, we provide a computationally efficient way to compute the approximation controls. An example of application is implemented for the one- and two-dimensional heat equation with Neumann boundary control.
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Dates et versions

hal-00086374 , version 1 (18-07-2006)

Identifiants

  • HAL Id : hal-00086374 , version 1

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Stéphane Labbé, Emmanuel Trélat. Uniform controllability of semidiscrete approximations of parabolic control systems. Systems and Control Letters, 2006, 55 (7), pp.597--609. ⟨hal-00086374⟩
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