The existence results for obstacle optimal control problems

Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates

“…The study of the limit h → 0 + of the discrete solutions of optimal control problems can be considered as a classical limit, see [6,7,8,10,11,19,21,22,23,27,37,38] but the double limit (h, α) → (0 + , +∞) can be considered as a new ones for a vectorial control problem.…”

Numerical Analysis of a Family of Optimal Distributed Control Problems Governed by an Elliptic Variational Inequality

“…with M > 0 a given constant and u g is the corresponding solution of the elliptic variational inequality (1.3) associated to the control g. Several continuous optimal control problems are governed by elliptic variational inequalities, for example: the process of biological waste-water treatment; reorientation of a satellite by propellers; and economics: the problem of consumer regulation of a monopoly, etc. There exist an abundant literature for optimal control problems [4,42,50], for optimal control problems governed by elliptic variational equalities or inequalities [2,3,5,6,7,8,9,11,19,20,26,28,30,32,34,38,40,45,46,52,53,54], for numerical analysis of variational inequalities or optimal control problems [10,13,14,15,16,17,21,22,23,24,25,27,33,35,36,37,43,47,48,49,<...>…”