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ESAIM: Control, Optimisation and Calculus of Variations Will be set by the publisher. An Extension of a Lyapuov Approach to the Stabilization of Second Order Coupled Systems

Abstract : This paper deals with the convergence to zero of the energy of the solutions of a second order linear coupled system. It revisits some previous results on the stabilization of such systems by exhibiting Lyapunov functions. The ones used are constructed according to some scalar cases situations. These simpler situations explicitely show that the assumptions made on the operators in the coupled systems seem, first, natural and, second, give insight on their forms.
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Contributor : Thierry Horsin <>
Submitted on : Friday, September 18, 2020 - 10:10:10 AM
Last modification on : Wednesday, September 23, 2020 - 3:59:03 AM

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Thierry Horsin, Mohamed Jendoubi. ESAIM: Control, Optimisation and Calculus of Variations Will be set by the publisher. An Extension of a Lyapuov Approach to the Stabilization of Second Order Coupled Systems. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2020. ⟨hal-02941579⟩

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