Optimal control of unstable non linear evolution systems
Pedro Humberto Rivera Rodriguez (1984)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Optimal control of nonsmooth system governed by quasi-linear elliptic equations.”
Optimal control of unstable non linear evolution systems
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Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
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The optimal control problem in coefficients for the pseudoparabolic variational inequality
Bock, I., Lovíšek, J.
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Some results on convergence linked to a perturbed boundary optimal control system.
A. Bounabat, T. Benkiran, M. Akkouchi (1994)
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Optimal feedback for perturbed bilinear control problems
Gh. Aniculăesei (1987)
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On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider
Ionel Ciuperca, Mohamed El Alaoui Talibi, Mohammed Jai (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider an optimal control problem for a class of non-linear elliptic equations. A result of existence and uniqueness of the state equation is proven under weaker hypotheses than in the literature. We also prove the existence of an optimal control. Applications to some lubrication problems and numerical results are given.
Singular perturbation for the Dirichlet boundary control of elliptic problems
Faker Ben Belgacem, Henda El Fekih, Hejer Metoui (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for...