Abstract
This paper is concerned with the asymptotic stability analysis of fuzzy Markovian jumping bi-directional associative memory neural networks (FMJBAMNNs) with discrete time-varying delays. Direct delay decomposition method is employed for obtaining the maximum admissible upper bounds (MAUB) of discrete time-varying delays. By utilizing Lyapunov-Krasovskii functional, we show that the addressed BAMNNs is asymptotically stable with Markovian jumping parameter under T-S fuzzy model. A general stability condition is derived in the form of linear matrix inequality (LMI), and can be efficiently solved by LMI toolbox in MATLAB. A numerical example is given to illustrate the effectiveness of the proposed stability criterion.
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© 2012 Springer-Verlag Berlin Heidelberg
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Sathy, R., Balasubramaniam, P. (2012). Direct Delay Decomposition Approach to Robust Stability on Fuzzy Markov-Type BAM Neural Networks with Time-Varying Delays. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_26
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DOI: https://doi.org/10.1007/978-3-642-28926-2_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28925-5
Online ISBN: 978-3-642-28926-2
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