KIEE - The Transactions of the Korean Institute of Electrical Engineers

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The Transactions of the Korean Institute of Electrical Engineers

The Transactions of the Korean Institute of Electrical Engineers

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Title	Delay-dependent Stability Criteria for Fuzzy Markovian Jumping Hopfield Neural Networks of Neutral Type with Time-varying Delays
Authors	박명진(Park, Myeong-Jin) ; 권오민(Kwon, Oh-Min) ; 박주현(Park, Ju-Hyun) ; 이상문(Lee, Sang-Moon)
DOI	https://doi.org/10.5370/KIEE.2011.60.2.376
Page	pp.376-382
ISSN	1975-8359
Keywords	Hopfield neural networks ; Fuzzy systems ; Neutral systems ; Time-varying delays ; Markovian jumping parameters ; Lyapunov method ; LMI
Abstract	This paper proposes delay-dependent stability conditions of the fuzzy Markovian jumping Hopfield neural networks of neutral type with time-varying delays. By constructing a suitable Lyapunov-Krasovskii's (L-K) functional and utilizing Finsler's lemma, new delay-dependent stability criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. A numerical example is given to illustrate the effectiveness of the proposed methods.

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