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We propose a new method for the approximation of exact controls of a second order infinite dimensional system with bounded input operator. The algorithm combines Russell's " stabilizability implies controllability " principle with the Galerkin method. The main new feature of this work consists of giving precise error estimates. In order to test the… (More)

This article describes a general framework for multiple coil MRI reconstruction in the presence of elastic physiological motion. On the assumption that motion is known or can be predicted, it is shown that the reconstruction problem is equivalent to solving an integral equation--known in the literature as a Fredholm equation of the first kind--with a… (More)

We study the exact controllability of a nonlinear plate equation by the means of a control which acts on an internal region of the plate. The main result asserts that this system is locally exactly controllable if the associated linear Euler– Bernoulli system is exactly controllable. In particular, for rectangular domains, we obtain that the Berger system… (More)

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