Delay-slope-dependent stability results of recurrent neural networks

Tao Li, Wei Xing Zheng, Chong Lin

Research output: Contribution to journalArticlepeer-review

114 Citations (Scopus)

Abstract

By using the fact that the neuron activation functions are sector bounded and nondecreasing, this brief presents a new method, named the delay-slope-dependent method, for stability analysis of a class of recurrent neural networks with time-varying delays. This method includes more information on the slope of neuron activation functions and fewer matrix variables in the constructed Lyapunov-Krasovskii functional. Then some improved delay-dependent stability criteria with less computational burden and conservatism are obtained. Numerical examples are given to illustrate the effectiveness and the benefits of the proposed method.
Original languageEnglish
Article number1
Pages (from-to)2138-2143
Number of pages6
JournalIEEE transactions on neural networks
Volume22
Issue number12
DOIs
Publication statusPublished - 2011

Keywords

  • Lyapunov functions
  • neural networks (computer science)

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