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Neural Networks
Volume 15, Issue 7, September 2002, Pages 867-871
 
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doi:10.1016/S0893-6080(02)00039-4    
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Copyright © 2002 Elsevier Science Ltd. All rights reserved.

Global stability of neural networks with distributed delays

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Yuming ChenCorresponding Author Contact Information, E-mail The Corresponding Author, E-mail The Corresponding Author

Department of Mathematical Sciences, University of Alberta, Edmonton, Alta., Canada T6G 2G1


Received 3 May 2001; 
accepted 10 April 2002. 
Available online 30 May 2002.

Abstract

Using the Lyapunov functional approach, we study the global stability of a class of neural networks with distributed delays. Without assuming the boundedness, monotonicity and differentiability of the activation functions and symmetry of the interconnection matrix, we give some new sufficient conditions on the existence, uniqueness and global asymptotic stability of the equilibrium point. Our results improve, extend and complement some existing ones.

Author Keywords: Distributed delays; Global asymptotic stability; Lyapunov function; M-matrix; Neural networks

Article Outline

1. Introduction
2. Existence and uniqueness of the equilibrium
3. Global asymptotic stability of the equilibrium
4. Conclusion
Acknowledgements
References

Corresponding Author Contact Information Present address: Department of Mathematics, Wilfrid Laurier University, Waterloo, Ont., Canada N2L 3C5. Tel.: +1-780-492-3396; fax: +1-780-492-6826/519-884-9738; email: ychen@vega.math.ualberta.ca; email: ychen@wlu.ca


Neural Networks
Volume 15, Issue 7, September 2002, Pages 867-871
 
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