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On the cost of null-control of an artificial advection-diffusion problem
Published online by Cambridge University Press: 27 August 2013
Abstract
In this paper we study the null-controllability of an artificial advection-diffusion system in dimension n. Using a spectral method, we prove that the control cost goes to zero exponentially when the viscosity vanishes and the control time is large enough. On the other hand, we prove that the control cost tends to infinity exponentially when the viscosity vanishes and the control time is small enough.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 4 , October 2013 , pp. 1209 - 1224
- Copyright
- © EDP Sciences, SMAI, 2013
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