Passivity analysis of delayed neural networks with discontinuous activations via differential inclusions

被引：11

作者：

Xiao, Jian ^{[1
,2
]}

Zeng, Zhigang ^{[1
,2
]}

Shen, Wenwen ^{[1
,2
]}

Wu, Ailong ^{[1
,2
,3
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[2] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China

[3] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China

来源：

NONLINEAR DYNAMICS | 2013年 / 74卷 / 1-2期

关键词：

Neural networks; Discontinuous activation; Passivity; Differential inclusion; TIME-VARYING DELAYS; GLOBAL EXPONENTIAL STABILITY; OPTIMIZATION PROBLEMS; CONVERGENCE;

D O I：

10.1007/s11071-013-0959-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Without assuming the boundedness and monotonicity of neuron activations, we investigate passivity of delayed neural networks with discontinuous activations. Based on differential inclusion theory, sufficient conditions are established in form of linear matrix inequality by employing the generalized Lyapunov approach. In addition, a kind of control input is designed to stabilize neural network with activation functions having special form. Finally, some numerical examples are proposed to show the effectiveness of developed results.

引用

页码：213 / 225

页数：13

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