Displaying similar documents to “Deterministic minimax impulse control in finite horizon: the viscosity solution approach”

Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints

Anton Schiela, Daniel Wachsmuth (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

In the article an optimal control problem subject to a stationary variational inequality is investigated. The optimal control problem is complemented with pointwise control constraints. The convergence of a smoothing scheme is analyzed. There, the variational inequality is replaced by a semilinear elliptic equation. It is shown that solutions of the regularized optimal control problem converge to solutions of the original one. Passing to the limit in the optimality system of the regularized...

Objective function design for robust optimality of linear control under state-constraints and uncertainty

Fabio Bagagiolo, Dario Bauso (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider a model for the control of a linear network flow system with unknown but bounded demand and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function that makes robust optimal the policy represented by the so-called linear saturated feedback control. We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations. ...

Objective function design for robust optimality of linear control under state-constraints and uncertainty

Fabio Bagagiolo, Dario Bauso (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider a model for the control of a linear network flow system with unknown but bounded demand and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function that makes robust optimal the policy represented by the so-called linear saturated feedback control. We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations. ...

Contents

Czesław Olech, Bronisław Jakubczyk, Jerzy Zabczyk (1985)

Banach Center Publications

Similarity:

Control for the sine-gordon equation

Madalina Petcu, Roger Temam (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

In this article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.

The global control of nonlinear partial differential equations and variational inequalities.

J. E. Rubio (1992)

Extracta Mathematicae

Similarity:

We study in this note the control of nonlinear diffusion equation and of parabolic variational inequalities by means of an approach which has been proved useful in the analysis of the control of nonlinear ordinary differential equations ([3]) and linear partial differential equations ([2] and [3]). It is based on an idea of Young [7], consisting in the replacement of classical variational problems by problems in measure spaces; its extension to optimal control problems, and the realization...