Delay-Dependent asymptotic Stability of Neural Networks with Time-Varying Delays

نویسندگان

  • Shengyuan Xu
  • James Lam
  • Daniel W. C. Ho
چکیده

We study the dynamical behavior of a class of neural network models with time-varying delays. By constructing suitable Lyapunov functionals, we obtain sufficient delay-dependent criteria to ensure local and global asymptotic stability of the equilibrium of the neural network. Our results are applied to a two-neuron system with delayed connections between neurons, and some novel asymptotic stability criteria are also derived. The obtained conditions are shown to be less conservative and restrictive than those reported in the known literature. Some numerical examples are included to demonstrate our results.

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2008