Global attractivity in delayed Hopfield neural network models
SIAM Journal on Applied Mathematics
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Journal of Computer and System Sciences
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IEEE Transactions on Neural Networks
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IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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IEEE Transactions on Neural Networks
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Expert Systems with Applications: An International Journal
IEEE Transactions on Neural Networks
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Neural Processing Letters
Stochastic stability of impulsive BAM neural networks with time delays
Computers & Mathematics with Applications
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Neural, Parallel & Scientific Computations
Original Articles: Noise suppress exponential growth for hybrid Hopfield neural networks
Mathematics and Computers in Simulation
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This paper is concerned with the problem of robust stability for stochastic interval delayed additive neural networks (SIDANN) with Markovian switching. The time delay is assumed to be time-varying. In such neural networks, the features of stochastic systems, interval systems, time-varying delay systems and Markovian switching are taken into account. The mathematical model of this kind of neural networks is first proposed. Secondly, the global exponential stability in the mean square is studied for the SIDANN with Markovian switching. Based on the Lyapunov method, several stability conditions are presented, which can be expressed in terms of linear matrix inequalities. As a subsequent result, the stochastic interval additive neural networks with time-varying delay are also discussed. A sufficient condition is given to determine its stability. Finally, two simulation examples are provided to illustrate the effectiveness of the results developed.