TY - JOUR
T1 - New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay
AU - Liu, Fang
AU - Wu, Min
AU - He, Yong
AU - Yokoyama, Ryuichi
PY - 2010/8/1
Y1 - 2010/8/1
N2 - This paper is concerned with the stability problem of uncertain T-S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.
AB - This paper is concerned with the stability problem of uncertain T-S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.
KW - Delay-dependent stability
KW - Linear matrix inequalities (LMIs)
KW - Lyapunov-Krasovskii functional
KW - T-S fuzzy systems
KW - Time-varying delay
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U2 - 10.1016/j.fss.2009.12.014
DO - 10.1016/j.fss.2009.12.014
M3 - Article
AN - SCOPUS:77955278173
VL - 161
SP - 2033
EP - 2042
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
IS - 15
ER -