The Hilbert Uniqueness Method for a Class of Integral Operators

Abstract : The Hilbert Uniqueness Method introduced by J.-L. Lions in 1988 has great interest among scientists in the control theory, because it is a basic tool to get controllability results for evolutive systems. Our aim is to outline the Hilbert Uniqueness Method for first order coupled systems in the presence of memory terms in general Hilbert spaces. At the end of the paper we give some applications of our general results.
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Paola Loreti, Daniela Sforza. The Hilbert Uniqueness Method for a Class of Integral Operators. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.351-359, ⟨10.1007/978-3-319-55795-3_33⟩. ⟨hal-01626920⟩

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