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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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https://hal-cnam.archives-ouvertes.fr/hal-02941579
Contributor : Aurélie Puybonnieux Connect in order to contact the contributor
Submitted on : Monday, March 7, 2022 - 11:36:28 AM
Last modification on : Friday, August 5, 2022 - 2:54:00 PM

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Thierry Horsin, Mohamed Ali Jendoubi. An Extension of a Lyapuov Approach to the Stabilization of Second Order Coupled Systems. ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.19. ⟨10.1051/cocv/2019075⟩. ⟨hal-02941579v2⟩

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