Exponential Stability of a Linear Distributed Parameter Bioprocess with Input Delay in Boundary Control

We consider a linear distributed parameter bioprocess with boundary control input possessing a time delay. Using a simple boundary feedback law, we show that the closed-loop system generates a uniformly bounded -semigroup of linear operators under a certain condition with respect to the feedback gai...

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Bibliographic Details
Main Authors: Fu Zheng, LingLing Fu, MingYan Teng
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/274857