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Global exponential stability of high-order Hopfield-type neural networks with S-type distributed time delays

Authors :
Wang, Yangfan
Lu, Chunge
Ji, Guangrong
Wang, Linshan
Source :
Communications in Nonlinear Science & Numerical Simulation. Aug2011, Vol. 16 Issue 8, p3319-3325. 7p.
Publication Year :
2011

Abstract

Abstract: This paper studies the problems of global exponential stability of high-order Hopfield-type neural networks with s-type distributed time delays. By using the topological degree theory and differential inequality technique, we prove existence of the equilibrium point and global existence of the solutions. We obtain some sufficient conditions on global exponential stability in terms of intercept equation, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
10075704
Volume :
16
Issue :
8
Database :
Academic Search Index
Journal :
Communications in Nonlinear Science & Numerical Simulation
Publication Type :
Periodical
Accession number :
59326760
Full Text :
https://doi.org/10.1016/j.cnsns.2010.11.005