Referenced Items are not available for this document.
Studies the global asymptotic stability of a class of fuzzy systems. It demonstrates the equivalence of stability properties of fuzzy systems and linear time invariant (LTI) switching systems. A necessary and sufficient condition for the stability of such systems are given, and it is shown that under the sufficient condition, a common Lyapunov function exists for the LTI subsystems. A particular case when the system matrices can be simultaneously transformed to normal matrices is shown to correspond to the existence of a common quadratic Lyapunov function. A constructive procedure to check the possibility of simultaneous transformation to normal matrices is provided
Published in:
Fuzzy Systems, IEEE Transactions on
(Volume:5
,
Issue:
1
)
Date of Publication: Feb 1997
- Page(s):
- 145 - 151
- ISSN :
- 1063-6706
- INSPEC Accession Number:
- 5506299
- Digital Object Identifier :
- 10.1109/91.554461
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Feb 1997
- Sponsored by :
- IEEE Computational Intelligence Society
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