A regularized optimality system for state-constrained optimal control problems is introduced
and semi-smooth Newton methods for its solution are analyzed. Convergence of the …

Optimization and Differentiation is an introduction to the application of optimization control
theory to systems described by nonlinear partial differential equations. As well as offering a …

We consider abstract optimal control problems in Banach spaces depending on a small
parameter. Problems of this type appear in sensitivity analysis discretization perturbation …

The aim of this article is to find explicit necessary conditions for local optimal pairs of
problems governed by divergence-type elliptic PDEs, in terms depending on the …

The control system described by variational inequality is considered. It is approximated by
the system described by a nonlinear equation with using the penalty method. The …

We study the approximation of control problems governed by elliptic partial differential
equations with pointwise state constraints. For a finite dimensional approximation of the …

We consider a control system described by a nonlinear elliptic equation. Its control-state
mapping is extendedly differentiable but not Gateaux differentiable for large values of the …

This paper addresses optimal control problems governed by semilinear parabolic partial
differential equations, subject to control constraints and state constraints of integral type …

In this paper, the authors study an optimal control problem governed by a class of multistate
ordinary differential equations in the absence of convexity. To overcome the difficulty that the …

Рассматривается управляемая система, описываемая нелинейным эллиптическим
уравнением. При больших значениях скорости роста нелинейности и размерности …