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
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
收藏
页码:491 / 494
页数:4
相关论文
共 18 条
  • [11] ANALYSIS AND SYNTHESIS OF NEURAL NETWORKS WITH LOWER BLOCK TRIANGULAR INTERCONNECTING STRUCTURE
    MICHEL, AN
    GRAY, DL
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (10): : 1267 - 1283
  • [12] QUALITATIVE-ANALYSIS OF NEURAL NETWORKS
    MICHEL, AN
    FARRELL, JA
    POROD, W
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (02): : 229 - 243
  • [13] PALAIS R.S., 1959, T AM MATH SOC, V92, P125
  • [14] NONLINEAR SWITCHED-CAPACITOR NEURAL NETWORKS FOR OPTIMIZATION PROBLEMS
    RODRIGUEZVAZQUEZ, A
    DOMINGUEZCASTRO, R
    RUEDA, A
    HUERTAS, JL
    SANCHEZSINENCIO, E
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (03): : 384 - 398
  • [15] ROSAK T, 1973, INT J CIRC THEOR APP, V1, P273
  • [16] Roska T., 1988, 1988 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.88CH2458-8), P751, DOI 10.1109/ISCAS.1988.15034
  • [17] SANDBERG IW, 1969, AT&T TECH J, V48, P1
  • [18] SIMPLE NEURAL OPTIMIZATION NETWORKS - AN A/D CONVERTER, SIGNAL DECISION CIRCUIT, AND A LINEAR-PROGRAMMING CIRCUIT
    TANK, DW
    HOPFIELD, JJ
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (05): : 533 - 541