Novel stability analysis for recurrent neural networks with multiple delays via line integral-type L-K functional

  • Authors:
  • Zhenwei Liu;Huaguang Zhang;Qingling Zhang

  • Affiliations:
  • College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China and Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Nationa ...;College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China and Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Nationa ...;Institute of Systems Science, Northeastern University, Shenyang, China

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2010

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Abstract

This paper studies the stability problem of a class of recurrent neural networks (RNNs) with multiple delays. By using an augmented matrix-vector transformation for delays and a novel line integral-type Lyapunov-Krasovskii functional, a less conservative delay-dependent global asymptotical stability criterion is first proposed for RNNs with multiple delays. The obtained stability result is easy to check and improve upon the existing ones. Then, two numerical examples are given to verify the effectiveness of the proposed criterion.