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Journal Articles ESAIM: Control, Optimisation and Calculus of Variations Year : 2020

An Extension of a Lyapuov Approach to the Stabilization of Second Order Coupled Systems

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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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Dates and versions

hal-02941579 , version 1 (18-09-2020)
hal-02941579 , version 2 (07-03-2022)

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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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