Global robust stability of interval neural networks with multiple time-varying delays

  • Authors:
  • Qiankun Song;Jinde Cao

  • Affiliations:
  • Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China;Department of Mathematics, Southeast University, Nanjing 210096, China

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, the global robust stability is investigated for interval neural networks with multiple time-varying delays. The neural network contains time-invariant uncertain parameters whose values are unknown but bounded in given compact sets. Without assuming both the boundedness on the activation functions and the differentiability on the time-varying delays, a new sufficient condition is presented to ensure the existence, uniqueness, and global robust stability of equilibria for interval neural networks with multiple time-varying delays based on the Lyapunov-Razumikhin technique as well as matrix inequality analysis. Several previous results are improved and generalized, and an example is given to show the effectiveness of the obtained results.