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Title Robust Delay-dependent Stability Criteria for Takagi-Sugeno Fuzzy Systems with Time-varying Delay
Authors 유아연(Liu, Yajuan) ; 이상문(Lee, Sangmoon) ; 권오민(Kwon, Ohmin)
DOI https://doi.org/10.5370/KIEE.2015.64.6.891
Page pp.891-899
ISSN 1975-8359
Keywords Asymptotic stability ; Fuzzy systems ; Time-varying delay ; LMI.
Abstract This paper presents the robust stability condition of uncertain Takagi-Sugeno(T-S) fuzzy systems with time-varying delay. New augmented Lyapunov-Krasovskii function is constructed to ensure that the system with time-varying delay is globally asymptotically stable. Also, less conservative delay-dependent stability criteria are obtained by employing some integral inequality, reciprocally convex approach and new delay-partitioning method. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.