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Chin. Phys. B, 2008, Vol. 17(1): 125-128    DOI: 10.1088/1674-1056/17/1/022
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More relaxed condition for dynamics of discrete time delayed Hopfield neural networks

Zhang Qiang(张强)
Liaoning Key Laboratory of Intelligent Information Processing, Dalian University, Dalian 116622, China
Abstract  The dynamics of discrete time delayed Hopfield neural networks is investigated. By using a difference inequality combining with the linear matrix inequality, a sufficient condition ensuring global exponential stability of the unique equilibrium point of the networks is found. The result obtained holds not only for constant delay but also for time-varying delays.
Keywords:  discrete time      delayed Hopfield neural networks      difference inequality  
Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)  
  02.10.Yn (Matrix theory)  
Fund: Project supported by the Program for New Century Excellent Talents in University (Grant No NCET-06-0298), the Program for Liaoning Excellent Talents in University (Grant No RC-05-07), the Program for Study of Science of the Educational Department of Liaon

Cite this article: 

Zhang Qiang(张强) More relaxed condition for dynamics of discrete time delayed Hopfield neural networks 2008 Chin. Phys. B 17 125

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