[1] Dai Zhijuan,. Exponential stability and existence of periodic solutionsfor a class of recurrent neural networks with delays [J]. Journal of Southeast University (English Edition), 2006, 22 (2): 286-293. [doi:10.3969/j.issn.1003-7985.2006.02.029]

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Exponential stability and existence of periodic solutionsfor a class of recurrent neural networks with delays()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

22

Issue:

2006 2

Page:

286-293

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2006-06-30

Info

Title:

Exponential stability and existence of periodic solutionsfor a class of recurrent neural networks with delays

Author(s):

Dai Zhijuan

Department of Mathematics, Nanjing University, Nanjing 210093, China
Department of Mathematics, Yangzhou Education College, Yangzhou 225002, China

Keywords:

recurrent neural network;  global exponential stability;  periodic solution;  delay;  homeomorphism;  Lyapunov function

PACS:

O175

DOI:

10.3969/j.issn.1003-7985.2006.02.029

Abstract:

Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays(RNNs)are studied.By employing the inequality a∏mk=1bqkk≤(1/r)∑mk=1qkbrk+(1/r)ar(a≥0, bk≥0, qk>0, with ∑mk=1qk=r-1 and r≥1), constructing suitable Lyapunov functions and applying the homeomorphism theory, a family of simple and new sufficient conditions are given ensuring the global exponential stability and the existence of periodic solutions of RNNs.The results extend and improve the results of earlier publications.

References:

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Memo

Memo:

Biography: Dai Zhijuan(1976—), female, lecturer, Zhij_-d@126.com.

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