Exponential Stabilization of a Parabolic-Hyperbolic System with Localized Damping and Delay-Reference-Cited by-同舟云学术

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Exponential Stabilization of a Parabolic-Hyperbolic System with Localized Damping and Delay

Published:2023-06-20 Issue:3 Volume:29 Page:1101-1127
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Gonzalez Martinez V. H.,Marchiori T. D.,De Souza Franco A. Y.

Funder

Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco

CAPES/ARAUCÁRIA

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s10883-023-09653-1.pdf

Reference22 articles.

1. Barbu V. Nonlinear Semigroups and Differential Equations in Banach Spaces. România, Bucuresti: Noordhoff Internation Publishing; 1976.

2. Bardos C, Lebeau G, Rauch J. Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary. SIAM J Control Optim. 1992;30:1024–65.

3. Cavalcanti MM, Oquendo H. Frictional versus viscoelastic damping in a semilinear wave equation. SIAM J Control Optim. 2003;42:1310–24.

4. Chueshov I, Eller M, Lasiecka I. On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Comm Partial Differential Equations. 2002;27:1901–51.

5. Dafermos C. On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity. Archs ration Mech Analysis. 1968;29(4):241–71.

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