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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's method. The main new feature brought in by this work consists in giving precise error estimates. In order to test… (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)

This paper describes a rigorous framework for reconstructing MR images of the heart, acquired continuously over the cardiac and respiratory cycle. The framework generalizes existing techniques, commonly referred to as retrospective gating, and is based on the properties of reproducing kernel Hilbert spaces. The reconstruction problem is formulated as a… (More)

- VIBRATING SYSTEMS, NICOLAE CÎNDEA, SORIN MICU, MARIUS TUCSNAK
- 2011

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)

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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