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Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Mixed Time-Varying Delays.

Authors :
Hutchison, David
Kanade, Takeo
Kittler, Josef
Kleinberg, Jon M.
Mattern, Friedemann
Mitchell, John C.
Naor, Moni
Nierstrasz, Oscar
Rangan, C. Pandu
Steffen, Bernhard
Sudan, Madhu
Terzopoulos, Demetri
Tygar, Doug
Vardi, Moshe Y.
Weikum, Gerhard
Derong Liu
Shumin Fei
Zeng-Guang Hou
Huaguang Zhang
Changyin Sun
Source :
Advances in Neural Networks: ISNN 2007 (9783540723820); 2007, p1008-1014, 7p
Publication Year :
2007

Abstract

In this paper, we study the Cohen-Grossberg neural networks with mixed time-varying delays. By applying the Lyapunov functional method and combining with the inequality 3abc ≤ a3 + b3 + c3 (a,b,c > 0) technique, a series of new and useful criteria on the existence of equilibrium point and its global asymptotical stability are established. The results obtained in this paper extend and generalize the corresponding results existing in previous literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISBNs :
9783540723820
Database :
Complementary Index
Journal :
Advances in Neural Networks: ISNN 2007 (9783540723820)
Publication Type :
Book
Accession number :
33176509
Full Text :
https://doi.org/10.1007/978-3-540-72383-7_118