Optimal control problems of BV trajectories with pointwise state constraints
نویسندگان
چکیده
منابع مشابه
Optimal control problems of BV trajectories with pointwise state constraints ∗
This paper deals with some optimal control problems governed by ordinary di erential equations with Radon measures as data and with pointwise state constraints. We study the properties of the value function and obtain its characterization by means of an auxiliary control problem of absolutely continuous trajectories. For this, we use some known techniques of reparametrization and graph completi...
متن کاملStationary Optimal Control Problems with Pointwise State Constraints
First order optimality conditions for stationary pointwise state constrained optimal control problems are considered. It is shown that the Lagrange multiplier associated with the pointwise inequality state constraint is a regular Borel measure only, in general. In case of sufficiently smooth data and under a regularity assumption on the active set, the Lagrange multiplier can be decomposed into...
متن کاملOptimal Control of PDEs with Regularized Pointwise State Constraints
This paper addresses the regularization of pointwise state constraints in optimal control problems. By analyzing the associated dual problem, it is shown that the regularized problems admit Lagrange multipliers in L2-spaces. Under a certain boundedness assumption, the solution of the regularized problem converges to the one of the original state constrained problem. The results of our analysis ...
متن کاملStability of infinite dimensional control problems with pointwise state constraints
A general class of nonlinear infinite dimensional optimization problems is considered that covers semi-linear elliptic control problems with distributed control as well as boundary control. Moreover, pointwise inequality constraints on the control and the state are incorporated. The general optimization problem is perturbed by a certain class of perturbations, and we establish convergence of lo...
متن کاملRegularization for semilinear elliptic optimal control problems with pointwise state and control constraints
In this paper a class of semilinear elliptic optimal control problem with pointwise state and control constraints is studied. We show that sufficient second order optimality conditions for regularized problems with small regularization parameter can be obtained from a second order sufficient condition assumed for the unregularized problem. Moreover, error estimates with respect to the regulariz...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2011
ISSN: 1474-6670
DOI: 10.3182/20110828-6-it-1002.01694