A note on the robust stability of uncertain stochastic fuzzy systems with time-delays

Zidong Wang; Daniel W. C. Ho; Xiaohui Liu

doi:10.1109/TSMCA.2004.826296

Author(s)

Zidong Wang
Daniel W. C. Ho
Xiaohui Liu

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	570-576
Journal / Publication	IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans
Volume	34
Issue number	4
Publication status	Published - Jul 2004

Link(s)

DOI	DOI https://doi.org/10.1109/TSMCA.2004.826296 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-3142691900&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(9956774e-6c0a-4f05-a16c-631b12394957).html

Abstract

Takagi-Sugeno (T-S) fuzzy models are now often used to describe complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear submodels. In this note, the T-S fuzzy model approach is exploited to establish stability criteria for a class of nonlinear stochastic systems with time delay. Sufficient conditions are derived in the format of linear matrix inequalities (LMIs), such that for all admissible parameter uncertainties, the overall fuzzy system is stochastically exponentially stable in the mean square, independent of the time delay. Therefore, with the numerically attractive Matlab LMI toolbox, the robust stability of the uncertain stochastic fuzzy systems with time delays can be easily checked. © 2004 IEEE.

Citation Format(s)

[ RIS ] [ BibTeX ]

A note on the robust stability of uncertain stochastic fuzzy systems with time-delays. / Wang, Zidong; Ho, Daniel W. C.; Liu, Xiaohui.
In: IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, Vol. 34, No. 4, 07.2004, p. 570-576.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Wang, Z, Ho, DWC & Liu, X 2004, 'A note on the robust stability of uncertain stochastic fuzzy systems with time-delays', IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, vol. 34, no. 4, pp. 570-576. https://doi.org/10.1109/TSMCA.2004.826296

Wang, Z., Ho, D. W. C., & Liu, X. (2004). A note on the robust stability of uncertain stochastic fuzzy systems with time-delays. IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, 34(4), 570-576. https://doi.org/10.1109/TSMCA.2004.826296

Wang Z, Ho DWC, Liu X. A note on the robust stability of uncertain stochastic fuzzy systems with time-delays. IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans. 2004 Jul;34(4):570-576. doi: 10.1109/TSMCA.2004.826296

Wang, Zidong ; Ho, Daniel W. C. ; Liu, Xiaohui. / A note on the robust stability of uncertain stochastic fuzzy systems with time-delays. In: IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans. 2004 ; Vol. 34, No. 4. pp. 570-576.