Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays
Author(s) -
Ting Lei,
Qiankun Song,
Zhenjiang Zhao
Publication year - 2014
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2014/657621
Subject(s) - passivity , mathematics , discrete time and continuous time , fuzzy logic , linear matrix inequality , control theory (sociology) , matrix (chemical analysis) , computer science , mathematical optimization , control (management) , statistics , materials science , artificial intelligence , electrical engineering , composite material , engineering
The passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays is investigated. By constructing appropriate Lyapunov-Krasovskii functionals and employing stochastic analysis method and matrix inequality technique, a delay-dependent criterion to ensure the passivity for the considered T-S fuzzy systems is established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. An example is given to show the effectiveness of the obtained result
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