Global exponential stability of a class of neural circuits

被引：26

作者：

Liang, XB ^{[1
]}

Wu, LD ^{[1
]}

机构：

[1] Fudan Univ, Dept Comp Sci, Shanghai 200433, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1999年 / 46卷 / 06期

关键词：

global exponential stability; Hopfield-Tank; neural circuits;

D O I：

10.1109/81.768832

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper obtains the global exponential stability (GES) of the class of Hopfield-Tank neural circuits, which can represent a generalization of the existing stability results in the sense that only the global asymptotic stability (GAS) of the neural circuits was obtained under existing sufficient conditions in the literature, An example of a neural circuit which is globally asymptotically. stable (GAS) rather than globally exponentially stable (GES) is also given.

引用

页码：748 / 751

页数：4

共 16 条

[1] ON A CLASS OF NONSYMMETRICAL NEURAL NETWORKS WITH APPLICATION TO ADC [J].

AVITABILE, G ;

FORTI, M ;

MANETTI, S ;

MARINI, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (02) :202-209

[2] NEURAL NETWORK FOR QUADRATIC OPTIMIZATION WITH BOUND CONSTRAINTS [J].

BOUZERDOUM, A ;

PATTISON, TR .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1993, 4 (02) :293-304

[3] A CONDITION FOR GLOBAL CONVERGENCE OF A CLASS OF SYMMETRICAL NEURAL CIRCUITS [J].

FORTI, M ;

MANETTI, S ;

MARINI, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (06) :480-483

[4] ON GLOBAL ASYMPTOTIC STABILITY OF A CLASS OF NONLINEAR-SYSTEMS ARISING IN NEURAL-NETWORK THEORY [J].

FORTI, M .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 113 (01) :246-264

[5] NEW CONDITIONS FOR GLOBAL STABILITY OF NEURAL NETWORKS WITH APPLICATION TO LINEAR AND QUADRATIC-PROGRAMMING PROBLEMS [J].

FORTI, M ;

TESI, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (07) :354-366

[6] CONVERGENT ACTIVATION DYNAMICS IN CONTINUOUS-TIME NETWORKS [J].

HIRSCH, MW .

NEURAL NETWORKS, 1989, 2 (05) :331-349

[7] NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS [J].

HOPFIELD, JJ .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10) :3088-3092

[8] NECESSARY AND SUFFICIENT CONDITION FOR ABSOLUTE STABILITY OF NEURAL NETWORKS - COMMENT [J].

KASZKUREWICZ, E ;

BHAYA, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (08) :497-499

[9] ON A CLASS OF GLOBALLY STABLE NEURAL CIRCUITS [J].

KASZKUREWICZ, E ;

BHAYA, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (02) :171-174

[10] STABILITY IN CONTRACTIVE NONLINEAR NEURAL NETWORKS [J].

KELLY, DG .

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1990, 37 (03) :231-242

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