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Zbl 1231.34139
Balasubramaniam, P.; Vembarasan, V.
Robust stability of uncertain fuzzy BAM neural networks of neutral-type with Markovian jumping parameters and impulses. (English)
[J] Comput. Math. Appl. 62, No. 4, 1838-1861 (2011). ISSN 0898-1221

Summary: The problem of neutral-type impulsive bidirectional associative memory neural networks (NIBAMNNs) with time delays are first established by a Takagi-Sugeno (T-S) fuzzy model in which the consequent parts are composed of a set of NIBAMNNs with interval delays and Markovian jumping parameters (MJPs). Sufficient conditions to check the robust exponential stability of the derived model are based on the Lyapunov-Krasovskii functionals (LKFs) containing some novel triple integral terms, Lyapunov stability theory and employing the free-weighting matrix method. The delay-dependent stability conditions are established in terms of linear matrix inequalities (LMIs), which can be very efficiently solved using {\tt Matlab LMI control toolbox}. Finally, numerical examples and remarks are given to illustrate the effectiveness and usefulness of the derived results.

MSC 2000:: *34K36
92B20 General theory of neural networks
34K20 Stability theory of functional-differential equations
34K50 Stochastic delay equations

Keywords: BAM neural networks; fuzzy systems; Markovian jumping parameters; impulses; neutral delay; {\tt Matlab LMI control toolbox}; {\tt Matlab}

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