
Accession Number : ADA132821
Title : Stabilization of Solutions for a Class of Parabolic IntegroDifferential Equations.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Engler,Hans
PDF Url : ADA132821
Report Date : Aug 1983
Pagination or Media Count : 56
Abstract : Integrodifferential equations arise in the description of feedback control systems, where the control variables are derived from filtered observations of the state or where the control mechanism possesses inertia. The author studies a model equation for a distributed control system (e.g., the state varies over some spacelike domain) which contains also some diffusion effects and give conditions under which the state will tend to some limit, as time goes to infinity, regardless of the initial situation. The limit is shown to satisfy an elliptic differential equation. Convergence rates are also given; these show the slowingdown effect of a slow control mechanism on the convergence of the state variable. The problem under study can also be viewed as a natural extension of a type of reactiondiffusion equation that has received wide attention in the literature. (Author)
Descriptors : *Integral equations, *Differential equations, *Control systems, Feedback, Solutions(General), Stabilization, Asymptotic normality, Convergence, Rates, Diffusion, Variables, Boundary value problems, Theorems
Subject Categories : Numerical Mathematics
Test Facilities, Equipment and Methods
Distribution Statement : APPROVED FOR PUBLIC RELEASE