Article ID Journal Published Year Pages File Type
719153 IFAC Proceedings Volumes 2009 6 Pages PDF
Abstract

We consider abstract second order evolution equations with unbounded feedback with time-varying delay. Existence results are obtained under some realistic assumptions. We prove the exponential decay under some conditions by introducing an abstract Lyapunov functional. Our abstract framework is applied to the beam and to the wave equations with boundary delays.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics