Exponential convergence of delayed dynamical systems

被引：19
作者：
Chen, TP [1 ]
Amari, S
机构：
[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
[2] RIKEN, Brain Sci Inst, Wako, Saitama 35101, Japan
来源：
NEURAL COMPUTATION | 2001年 / 13卷 / 03期
关键词：
D O I：
10.1162/089976601300014484
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We discuss some delayed dynamical systems, investigating their stability and convergence. We prove that under mild conditions, these delayed systems are global exponential convergent.
引用
收藏
页码：621 / 635
页数：15
相关论文
共 25 条
[1]   CHARACTERISTICS OF RANDOM NETS OF ANALOG NEURON-LIKE ELEMENTS [J].
AMARI, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1972, SMC2 (05) :643-&
[2]   CHARACTERISTICS OF RANDOMLY CONNECTED THRESHOLD-ELEMENT NETWORKS AND NETWORK SYSTEMS [J].
AMARI, SI .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1971, 59 (01) :35-&
[3]   Frustration, stability, and delay-induced oscillations in a neural network model [J].
Belair, J ;
Campbell, SA ;
VandenDriessche, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (01) :245-255
[4]   Stability analysis of delayed cellular neural networks [J].
Cao, JD ;
Zhou, DM .
NEURAL NETWORKS, 1998, 11 (09) :1601-1605
[5]   Convergence of delayed dynamical systems [J].
Chen, TP .
NEURAL PROCESSING LETTERS, 1999, 10 (03) :267-271
[6]  
CHEN TP, 2000, IEEE T NEURAL NETWOR
[7]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826
[8]   Stability analysis of dynamical neural networks [J].
Fang, YG ;
Kincaid, TG .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1996, 7 (04) :996-1006
[9]   NECESSARY AND SUFFICIENT CONDITION FOR ABSOLUTE STABILITY OF NEURAL NETWORKS [J].
FORTI, M ;
MANETTI, S ;
MARINI, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1994, 41 (07) :491-494
[10]   STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS [J].
GOPALSAMY, K ;
HE, XZ .
PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) :344-358
123