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Control of Partial Differential Equations via Physics-Informed Neural Networks
Carlos J. García-Cervera, Mathieu Kessler and Francisco Periago Journal of Optimization Theory and Applications 196(2) 391 (2023) https://doi.org/10.1007/s10957-022-02100-4
Advances in Distributed Parameter Systems
Marcelo Cavalcanti, Valeria Domingos Cavalcanti, Carole Rosier and Lionel Rosier Advances in Delays and Dynamics, Advances in Distributed Parameter Systems 14 69 (2022) https://doi.org/10.1007/978-3-030-94766-8_4
Singular asymptotic expansion of the exact control for the perturbed wave equation
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation
Erik Burman, Ali Feizmohammadi, Arnaud Münch and Lauri Oksanen ESAIM: Mathematical Modelling and Numerical Analysis 55 S969 (2021) https://doi.org/10.1051/m2an/2020062
A semi-discrete finite difference method to uniform stabilization of wave equation with local viscosity
Antonio Agresti, Daniele Andreucci and Paola Loreti Lecture Notes in Electrical Engineering, Informatics in Control, Automation and Robotics 613 51 (2020) https://doi.org/10.1007/978-3-030-31993-9_3
Best Decay Rate, Observability and Open-Loop Admissibility Costs: Discussions and Numerical Study
An Effective Computational Scheme for the Optimal Control of Wave Equations**This project was supported in part by NSFC 11301262 and NSF 1021203, 1419028 of the United States.
Numerical controllability of the wave equation through primal methods and Carleman estimates
Nicolae Cîndea, Enrique Fernández-Cara and Arnaud Münch ESAIM: Control, Optimisation and Calculus of Variations 19(4) 1076 (2013) https://doi.org/10.1051/cocv/2013046
Uniformly exponentially or polynomially stable approximations for second order evolution equations and some applications
Farah Abdallah, Serge Nicaise, Julie Valein and Ali Wehbe ESAIM: Control, Optimisation and Calculus of Variations 19(3) 844 (2013) https://doi.org/10.1051/cocv/2012036
Resolvent estimates in controllability theory and applications to the discrete wave equation