Global exponential stability in DCNNs with distributed delays and unbounded activations

  • Authors:
  • Sannay Mohamad

  • Affiliations:
  • Department of Mathematics, Faculty of Science, Universiti Brunei Darussalam, Jalan Tunku Link BE1410, Brunei Darussalam

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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Abstract

We study delayed cellular neural networks (DCNNs) whose state variables are governed by nonlinear integrodifferential differential equations with delays distributed continuously over unbounded intervals. The networks are designed in such a way that the connection weight matrices are not necessarily symmetric, and the activation functions are globally Lipschitzian and they are not necessarily bounded, differentiable and monotonically increasing. By applying the inequality pa^p^-^1b=