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In this paper, by constructing an appropriate Lyapunov functional, sufficient criteria independent of the delays for global exponential stability of the network are derived. The algebra criteria are applicable for other neural network models. This results are less conservative and restrictive than previously known results and can be easily verified. And the result has overcome the obvious drawback...
In this paper, the Cohen-Grossberg neural network models with time delays are considered. By constructing an appropriate Lyapunov functional, sufficient criteria for global asymptotic stability of the network are derived. These criteria independent of the magnitudes of the delays are applicable for other Cohen-Grossberg neural network models. Our results are less conservative and restrictive than...
In this paper, the Cohen-Grossberg neural network models with variable coefficients and time-varying delays are considered. By constructing an appropriate Lyapunov functional, some global exponential stability criteria for this type of Cohen-Grossberg neural network are presented. These criteria are applicable for other neural network models, such as cellular neural networks. Our results are less...
This paper provided a new sufficient condition for the global asymptotic stability of cellular neural networks (CNNs) with time delays. An asymptotic stability of CNNs with time delays was considered by constructing a new suitable Lyapunov functional and some matrix inequality technique. A novel delay-independent stability criterion which considered the excitatory and inhibitory connection was given...
In this paper, the global stability of Hopfield neural networks with time-varying delays is investigated by utilizing Lyapunov functional method and the linear matrix inequality (LMI) technique. Distinct difference from other analytical approach lies in ldquolinearizationrdquo of neural network model, by which the considered neural network model is transformed into a linear time-variant system. Then,...
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