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Effects of Small World Connection on the Stability of a Neural Network

XU Xu1, ZHANG Jie2, LIANG Yanchun2   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Computer Science and Technology, Jilin University, Changchun 130012, China
  • Received:2008-07-15 Revised:1900-01-01 Online:2008-09-26 Published:2008-09-26
  • Contact: LIANG Yanchun

Abstract: We made a detailed analysis on the dynamics of a time delay network with small world connection. On the basis of Lyapunov stability approach, we investigated the stability of the system firstly and presented a delaydependent criteria ensuring global stability. We further analyzed the effects of small world connection strength on systemic global stability.

Key words: small world, ring neural network, time delay, global stability

CLC Number: 

  • O175.1