Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1654-1665.

• Articles • Previous Articles     Next Articles

Stability of a Ring Neural Network with Delays

 ZOU Shao-Fen1,2, WANG Yao-Na2, HUANG Li-Hong1   

  1. 1.College of Mathematics and Econometrics, Hunan University, Changsha 410082;
    2.College of Electrical and Information Engineering, Hunan University, Changsha 410082
  • Received:2008-10-22 Revised:2009-10-29 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    湖南省博士后基金(2009RS3004)、国家自然科学基金(60775047, 10771055, 60835004)及国家863项目(2007AA04Z244)资助

Abstract:

A system of ring neural network with self-feedback and multiple delays is considered. Conditions for the stability  and unstability of the trivial solution of this system are completely represented in a parameter space. According to the
regulation of the variation of the number of eigenvalues with positive real parts, for different parameters, the authors investigate the boundary of the largest stability set,  improve and complete the former conclusions

Key words: Neural network, Delay, Linear stability, Largest stability set

CLC Number: 

  • 34K20
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