Generalized passivity of coupled neural networks with directed and undirected topologies

被引：30

作者：

Ren, Shun-Yan ^{[1
]}

Wang, Jin-Liang ^{[2
]}

Wu, Jigang ^{[3
]}

机构：

[1] Tianjin Polytech Univ, Sch Mech Engn, Tianjin 300387, Peoples R China

[2] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin Key Lab Optoelect Detect Technol & Syst, Tianjin 300387, Peoples R China

[3] Guangdong Univ Technol, Sch Comp, Guangzhou 510006, Guangdong, Peoples R China

来源：

NEUROCOMPUTING | 2018年 / 314卷

基金：

中国国家自然科学基金;

关键词：

Generalized passivity; Coupled neural networks; Directed topology; Undirected topology; Adaptive control; COMPLEX DYNAMICAL NETWORKS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; ADAPTIVE-CONTROL; LINEAR-SYSTEMS; LMI APPROACH; SYNCHRONIZATION; STABILIZATION; DESIGN;

D O I：

10.1016/j.neucom.2018.06.035

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The generalized passivity is discussed for coupled neural networks (CNNs) with directed and undirected topologies, respectively. Firstly, some generalized passivity definitions are proposed for general systems, in which output and input vectors may have different dimensions. By exploiting concepts of passivity and matrix theory, several criteria are established to guarantee the generalized passivity of CNNs with directed and undirected topologies. However, in many circumstances, CNNs with known coupling weights is not passive. Therefore, some control schemes for updating the coupling weights are also presented. By using these adaptive control schemes, several criteria for ensuring network passivity are derived. In addition, two simulation examples are presented to show the correctness of proposed passivity criteria. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：371 / 385

页数：15

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