TY - JOUR
T1 - A note on the robust stability of uncertain stochastic fuzzy systems with time-delays
AU - Wang, Zidong
AU - Ho, Daniel W. C.
AU - Liu, Xiaohui
PY - 2004/7
Y1 - 2004/7
N2 - 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.
AB - 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.
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U2 - 10.1109/TSMCA.2004.826296
DO - 10.1109/TSMCA.2004.826296
M3 - RGC 21 - Publication in refereed journal
SN - 1083-4427
VL - 34
SP - 570
EP - 576
JO - IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans
JF - IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans
IS - 4
ER -