GLOBAL PROPERTIES FOR A CLASS OF DYNAMICAL NEURAL CIRCUITS

Authors
FANG YG KINCAID TG
Citation
Yg. Fang et Tg. Kincaid, GLOBAL PROPERTIES FOR A CLASS OF DYNAMICAL NEURAL CIRCUITS, Journal of the Franklin Institute, 335B(1), 1998, pp. 163-177
Citations number
19
Categorie Soggetti
Mathematics,"Engineering, Mechanical","Engineering, Eletrical & Electronic","Robotics & Automatic Control
Journal title
Journal of the Franklin Institute → ACNP
ISSN journal
00160032
Volume
335B
Issue
1
Year of publication
1998
Pages
163 - 177
Database
ISI
SICI code
0016-0032(1998)335B:1<163:GPFACO>2.0.ZU;2-Q
Abstract
In this paper, we study the global properties of a class of asymmetric al Hopfield-type neural circuits. We first present a result for the ex istence and uniqueness of an equilibrium point; this result does not a ssume smoothness of the neural activation functions. Then we give some testable sufficient conditions for the global stability of such neura l circuits. These results generalize a few previous known results and remove some restrictions on the neural circuits. (C) 1997 Published by Elsevier Science Ltd.