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On the uniform exponential stability of a wide class of linear time-delay systems
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2004, Vol. 289 Issue 2, p456. 21p. - Publication Year :
- 2004
-
Abstract
- 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. [Copyright &y& Elsevier]
- Subjects :
- *FUNCTIONAL analysis
*MATHEMATICS
*STATISTICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 289
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 11733866
- Full Text :
- https://doi.org/10.1016/j.jmaa.2003.08.048