On the uniform exponential stability of a wide class of linear time-delay systems

This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities....

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2004-01, Vol.289 (2), p.456-476
Main Authors: De la Sen, M., Luo, Ningsu
Format: Article
Language:English
Subjects:
Exact sciences and technology
Integral equations
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
Stability
Stabilization
Time-delay systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay-free system as well as an auxiliary one are globally uniformly exponentially stable and globally uniform exponential stability independent of delay, respectively. The auxiliary system is typically a part of the overall dynamics of the delayed system but not necessarily the isolated undelayed dynamics as usually assumed in the literature. Since there is a great freedom in setting such an auxiliary system, the obtained stability conditions are very useful in a wide class of practical applications.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2003.08.048