An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities

Then we discuss the maximization condition for optimal sampled-data controls that can be seen as an average of the weak maximization condition stated in the classical

The first result shows that using the graph completion of the measure, the optimal solutions can be obtained by solving a reparametrized control problem of absolutely

We have performed a partial extension of the theory of optimal control with run- ning and initial-final state constraints problems to the case of integral equations, obtaining a

Using the existence and uniqueness of the solution to particular elliptic variational inequality, we consider a family of distributed optimal control problems on the internal energy

We present an augmented Lagrangian method coupled with a Gauss-Seidel type splitting to solve a relaxed problem which is a good approxi- mation of the genuine one.. Implementation

Barbu, Necessary conditions for non convex distributed control problems governed by elliptic variational inequalities, Journal of Mathematical Analysis and Applica- tions, 80,

Casas, An Extension of Pontryagin’s Principle for State Constrained Optimal Control of Semilinear Elliptic Equations and Variational Inequalities, SIAM Journal on Control

The augmented Lagrangian algorithms with splitting into state and control variable can effectively be used to solve state and control constrained optimization problems. For the