Accession Number : ADA192896

Title :   Feedback Control of a Hyperbolic Partial-Differential Equation with Viscoelastic Damping,

Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Burns, J A ; Fabiano, R H

PDF Url : ADA192896

Report Date : 15 Apr 1988

Pagination or Media Count : 56

Abstract : In this paper we consider an approximation scheme for an optimal control problem described by a hyperbolic partial-functional differential equation used to model the elastic motion of a viscoelastic body of Boltzmann type. The method is based on combined finite element/averaging approximations. We present theoretical and numerical results for a problem with quadratic cost functional.

Descriptors :   *DAMPING, *VISCOELASTICITY, *PARTIAL DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS), BOLTZMANN EQUATION, CONTROL, COSTS, ELASTIC PROPERTIES, FEEDBACK, FINITE ELEMENT ANALYSIS, MEAN, MOTION, NUMERICAL ANALYSIS, OPTIMIZATION, QUADRATIC EQUATIONS, MATHEMATICAL MODELS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE