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In this note, the delay-independent stability of delay systems is studied. It is shown that the strong delay-independent stability is equivalent to the feasibility of certain linear matrix inequality (LMI), that is to the existence of a quadratic Lyapunov-Krasovskii functional, independent of the (nonnegative) value of the delay. This constitutes the analogue of some well-known properties of finite-dimensional systems. This result is then applied to study delay-independent stability of systems with polytopic uncertainties
Published in:
Automatic Control, IEEE Transactions on
(Volume:47
,
Issue:
2
)
Date of Publication: Feb 2002
- Page(s):
- 327 - 335
- ISSN :
- 0018-9286
- INSPEC Accession Number:
- 7192944
- Digital Object Identifier :
- 10.1109/9.983374
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 07 August 2002
- Issue Date :
- Feb 2002
- Sponsored by :
- IEEE Control Systems Society
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