The Stability in Neural Networks with Interneuronal Transmission Delays
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Abstract: In this paper,some sufficient conditions are obtained for the global asymptotic stability of the equilibrium of neural networks with inter neuronal transmission delays of the type
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Key words:
- neural networks /
- equilibrium /
- stability
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[1] K.Gopalsamy,Stability and Oscillations in Delay Differential Equations of Population Dynamics,Kluwer Acadmic Dordrecht(1992). [2] K.Mastsuoka,stability conditions for nonlinear continuous neural networks with asymmetric connection weight,Neural Networks,5(1992),495-500. [3] D.G.Kelly,stability in contractive nonlinear neural networks,IEEE Trans.Biomedical Engineering,37(1990),231)242. [4] K.Gopalsamy and X.Z.He,stability in asymmetric Hopfield nets with transmission delays,Physica D,76(1994),344-358. [5] C.M.Marcus and R.M.Westervelt,stability of along neural network with time delay,Phys.Rev. A,39(1989),347-359. [6] T.A.Burton,Neural networks with memory,Applied Math.Stoch.Anal.,4(1991),313-332.
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