We study a posteriori error estimates for the numerical approximations of state constrained optimal control problems governed by convection diffusion equations, regularized by Moreau-Yosida and Lavrentiev-based techniques. The upwind Symmetric Interior Penalty Galerkin (SIPG) method is used as a discontinuous Galerkin (DG) discretization method. We derive different residual-based error indicato...

We derive a-posteriori error estimates for control-constrained, linear-quadratic optimal control problems. The error is measured in a norm which is motivated by the objective. Our abstract error estimator is separated into three contributions: the error in the variational inequality (i.e., in the optimality condition for the control) and the errors in the state and adjoint equation. Hence, one ...

The hypothesis that living systems can benefit from operating at the vicinity of critical points has gained momentum in recent years. Criticality may confer an optimal balance between too ordered and exceedingly noisy states. Here we present a model, based on information theory and statistical mechanics, illustrating how and why a community of agents aimed at understanding and communicating wit...

Nets and filters are important conclusions of functional spaces which have got variety of applications in data transmission. Mathematical modeling of the input and output in wiener filter can result in control of noise during data transmission. We have unscrupulously applied least mean square theorem for optimal control in noise.

This article presents a simple synchronization framework with application to synchronization control of formation flying spacecraft. A dynamical network of multiple Lagrangian systems is constructed by adding diffusive couplings to otherwise freely flying spacecraft. The proposed tracking control law synchronizes an arbitrary number of spacecraft into a common time-varying trajectory with globa...

this paper presents fuzzy and conventional performance of model reference adaptive control(mrac) to control a dc drive. the aims of this work are achieving better match of motor speed with reference speed, decrease of noises under load changes and disturbances, and increase of system stability. the operation of nonadaptive control and the model reference of fuzzy and conventional adaptive contr...

The aim of this work is to make a first investigation of how adaptive finite element methods can be used to solve optimal control problems. Our approach is based on an adaptive algorithm with error control based on a posteriori error estimates. The work was initiated from and motivated by a need to solve optimal control problems in vehicle dynamics. The methodology of dual weighted residuals wa...

In this article we are concerned with the finite element discretization of optimal control problems subject to a second order elliptic PDE and additional pointwise constraints on the gradient of the state. We will derive error estimates for the convergence of the cost functional under mesh refinement. Subsequently error estimates for the control and state variable are obtained. As an intermedia...

s: The problem of on-line continuous-time estimation of parameters of a polyharmonic function is considered. The analytical conditions of existence of the solution are presented and the design procedure of the estimation algorithm is proposed. The presented results were obtained on the basis of the theory of adaptive systems and identification theory, mathematical theory of stability as well as...

This paper provides a solution to the convergence of the parameter estimates to their true values in an ideal adaptive regulation context. The key design feature consists in the use of an asymptotically vanishing internally generated exciting sequence. 1. Introduction IN THIS paper, the following question is addressed: given a known order linear time invariant system, how does one design an ada...