NECESSARY AND SUFFICIENT CONDITION FOR ABSOLUTE STABILITY OF NEURAL NETWORKS

被引：167

作者：

FORTI, M

MANETTI, S

MARINI, M

机构：

[1] Electronic Engineering Department, University of Florence, 50139, Firenze

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 1994年 / 41卷 / 07期

关键词：

D O I：

10.1109/81.298364

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：

The main result in this paper is that for a neural circuit of the Hopfield type with a symmetric connection matrix T, the negative semidefiniteness of T is a necessary and sufficient condition for Absolute Stability. The most significant theoretical implication is that the class of neural circuits with a negative semidefinite T is the largest class of circuits that can be employed for embedding and solving optimization problems without the risk of spurious responses.

引用

页码：491 / 494

页数：4

共 18 条

[1] APPLICATION OF DEGREE THEORY TO ANALYSIS OF RESISTIVE NONLINEAR NETWORKS
CHUA, LO
WANG, NN
[J]. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1977, 5 (01) : 35 - 68
[2] CORDUNEANU C, 1971, PRINCIPLES DIFFERNTI, pCH5
[3] A CONDITION FOR GLOBAL CONVERGENCE OF A CLASS OF SYMMETRICAL NEURAL CIRCUITS
FORTI, M
MANETTI, S
MARINI, M
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (06): : 480 - 483
[4] STABILITY ANALYSIS OF GENERALIZED CELLULAR NEURAL NETWORKS
GUZELIS, C
CHUA, LO
[J]. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1993, 21 (01) : 1 - 33
[5] HAHN W, 1963, THEORY APPLICATION L, pCH3
[6] Hale J.K., 1969, PURE APPL MATH
[7] CONVERGENT ACTIVATION DYNAMICS IN CONTINUOUS-TIME NETWORKS
HIRSCH, MW
[J]. NEURAL NETWORKS, 1989, 2 (05) : 331 - 349
[8] NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS
HOPFIELD, JJ
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10): : 3088 - 3092
[9] QUALITATIVE-ANALYSIS AND SYNTHESIS OF A CLASS OF NEURAL NETWORKS
JIAN, HL
MICHEL, AN
POROD, W
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (08): : 976 - 986
[10] NEURAL NETWORKS FOR NONLINEAR-PROGRAMMING
KENNEDY, MP
CHUA, LO
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (05): : 554 - 562

← 1 2 →