Passivity and Robust Passivity of Delayed Cohen-Grossberg Neural Networks With and Without Reaction-Diffusion Terms

被引：15

作者：

Chen, Weizhong ^{[1
]}

Huang, Yanli ^{[2
]}

Ren, Shunyan ^{[3
]}

机构：

[1] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China

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

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

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2018年 / 37卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Cohen-Grossberg neural networks; Reaction-diffusion terms; Passivity; Robust passivity; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; NONLINEAR-SYSTEMS; SYNCHRONIZATION; DISCRETE; STABILIZATION; DISSIPATIVITY; CRITERIA;

D O I：

10.1007/s00034-017-0693-4

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：

In this paper, we address the passivity and robust passivity problems for delayed Cohen-Grossberg neural networks (DCGNNs) both with and without reaction-diffusion terms. First, by resorting to appropriate Lyapunov functionals combined with some inequality techniques, some passivity conditions for DCGNNs without the reaction-diffusion terms are derived. Moreover, considering that parameter uncertainties may appear in neural networks, we also study the robust passivity of DCGNNs. In addition, we extend these derived results to the model of DCGNNs with reaction-diffusion terms. The validity and advantages of the theoretical results are demonstrated by three numerical examples.

引用

页码：2772 / 2804

页数：33

共 60 条

[1] Passivity analysis of stochastic neural networks with leakage delay and Markovian jumping parameters [J].

Ali, M. Syed ;

Arik, Sabri ;

Rani, M. Esther .

NEUROCOMPUTING, 2016, 218 :139-145

[2] Observer-based adaptive control for stochastic nonstrict-feedback systems with unknown backlash-like hysteresis [J].

Bai, Lu ;

Zhou, Qi ;

Wang, Lijie ;

Yu, Zhandong ;

Li, Hongyi .

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2017, 31 (10) :1481-1490

[3] Passivity analysis for uncertain stochastic neural networks with discrete interval and distributed time-varying delays [J].

Balasubramaniam, P. ;

Nagamani, G. .

JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2010, 21 (04) :688-697

[4]

Bevelevich V., 1968, Classical Network Synthesis

[5] Robust stabilisation and passivity of nonlinear systems with structural uncertainty [J].

Cai, X-S. ;

Han, Z. -Z. .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (06) :641-646

[6] Robust global exponential stability of Cohen-Grossberg neural networks with time delays [J].

Chen, TP ;

Rong, LB .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :203-206

[7] On Global Asymptotic Stability of Cohen-Grossberg Neural Networks With Variable Delays [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (10) :3145-3159

[8] Global asymptotic stability of delayed Cohen-Grossberg neural networks [J].

Chen, Y .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (02) :351-357

[9] 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

[10] Stability analysis of Cohen-Grossberg neural networks [J].

Guo, SJ ;

Huang, LH .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (01) :106-117

← 1 2 3 4 5 6 →