On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints

Optimal control, parabolic equations, box constraints for the control, finitely many con- straints for the state, Robinson constraint qualification, second order optimality

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Abstract: This paper provides an analysis of Pontryagine mimina satisfying a quadratic growth condition, for optimal control problems of ordinary differential equations with

Cette système de failles présente des pendages principalement 70 à 80°ENE avec un étendues atteindre 1km à Ain El Kahla, (Flerov, V et Tourqui, M.1988). - Famille WNW-ESE :

Keywords: Optimal control; State constraint; Higher order; Mixed control-state constraint; Junction conditions; Necessary or sufficient second-order optimality conditions;

Since then, many results on the bang-bang property of time optimal controls governed by linear and semilinear parabolic differential equations were obtained [3, 4, 20], where the

Studying the sensitivity of the solution of the (Lavrentiev) regularized state constrained optimal control problem with respect to the regularization parameter is beneficial as it

This result is a straightforward consequence of Lemma 5.2 in the Appendix, where it is shown that the oracle in the class of binary filters λ i ∈ {0, 1} achieves the same rate