Delay-Dependent Stability for Recurrent Neural Networks With Time-Varying Delays

  • Authors:
  • Hanyong Shao

  • Affiliations:
  • Sch. of Electr. & Inf. Autom., Qufu Normal Univ., Rizhao

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2008

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Abstract

This brief is concerned with the stability for static neural networks with time-varying delays. Delay-independent conditions are proposed to ensure the asymptotic stability of the neural network. The delay-independent conditions are less conservative than existing ones. To further reduce the conservatism, delay-dependent conditions are also derived, which can be applied to fast time-varying delays. Expressed in linear matrix inequalities, both delay-independent and delay-dependent stability conditions can be checked using the recently developed algorithms. Examples are provided to illustrate the effectiveness and the reduced conservatism of the proposed result.