Bidirectional associative memories
IEEE Transactions on Systems, Man and Cybernetics
Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
Existence and stability of almost periodic solution for BAM neural networks with delays
Applied Mathematics and Computation
Global asymptotic stability of delayed bi-directional associative memory neural networks
Applied Mathematics and Computation
Journal of Computational and Applied Mathematics
Robust filtering for bilinear uncertain stochastic discrete-timesystems
IEEE Transactions on Signal Processing
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
IEEE Transactions on Neural Networks
Delay-independent stability in bidirectional associative memory networks
IEEE Transactions on Neural Networks
Mathematics and Computers in Simulation
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In this paper, the global asymptotic stability analysis problem is investigated for a class of stochastic bi-directional associative memory (BAM) networks with mixed time-delays and parameter uncertainties. The mixed time-delays consist of both the discrete and the distributed delays, the uncertainties are assumed to be norm-bounded, and the neural network are subject to stochastic disturbances described by a Brownian motion. Without assuming the monotonicity and differentiability of activation functions, we employ the Lyapunov-Krasovskii stability theory and some new developed techniques to establish sufficient conditions for the stochastic delayed BAM networks to be globally asymptotically stable in the mean square. These conditions are expressed in terms of the feasibility to a set of linear matrix inequalities (LMIs) that can be easily checked by utilizing the numerically efficient Matlab LMI toolbox. A simple example is exploited to show the usefulness of the derived LMI-based stability conditions.