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NECESSARY AND SUFFICIENT CONDITION FOR ABSOLUTE STABILITY OF NEURAL NETWORKS - COMMENT

被引：55
作者：
KASZKUREWICZ, E
BHAYA, A
机构：
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1995年 / 42卷 / 08期
关键词：
D O I：
10.1109/81.404065
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 letter points out that a Liapunov function used by the present authors in an earlier publication on absolute and structural stability of neural circuits easily proves a stronger version of the sufficient part of the result contained in the note(1) as well as in a subsequent publication. Comments are made on the set of interconnection matrices that determine necessary and sufficient conditions for absolute stability of the class of neural circuits considered and as a consequence a conjecture is formulated.
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页码：497 / 499
页数：3
相关论文
共 8 条
[1]   INERTIA-PRESERVING MATRICES [J].
BERMAN, A ;
SHASHA, D .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1991, 12 (02) :209-219
[2]  
Boyd S., 1994, LINEARMATRIX INEQUAL, P193
[3]   THE P-MATRIX PROBLEM IS CO-NP-COMPLETE [J].
COXSON, GE .
MATHEMATICAL PROGRAMMING, 1994, 64 (02) :173-178
[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]  
Forti M., 1994, 1994 IEEE International Symposium on Circuits and Systems (Cat. No.94CH3435-5), P241, DOI 10.1109/ISCAS.1994.409572
[6]   RECENT DIRECTIONS IN MATRIX STABILITY [J].
HERSHKOWITZ, D .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 171 :161-186
[7]   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
[8]  
PERSIDSKII S, 1969, AUTOMAT REM CONTR, V30, P1889
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