Passivity analysis of impulsive coupled reaction-diffusion neural networks with and without time-varying delay

Pu Chong Wei; Jin Liang Wang; Yan Li Huang; Bei Bei Xu; Shun Yan Ren

doi:10.1016/j.neucom.2015.06.021

Passivity analysis of impulsive coupled reaction-diffusion neural networks with and without time-varying delay

Pu Chong Wei
, Jin Liang Wang^*
, Yan Li Huang
, Bei Bei Xu
, Shun Yan Ren

^*Corresponding author for this work

Tiangong University

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

In this paper, we respectively investigate the input strict passivity and output strict passivity of impulsive coupled reaction-diffusion neural networks with and without time-varying delay. By constructing suitable Lyapunov functionals and utilizing some inequality techniques, several input strict passivity and output strict passivity conditions are derived for the impulsive coupled reaction-diffusion neural networks with and without time-varying delay. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the proposed results.

Original language	English
Pages (from-to)	13-22
Number of pages	10
Journal	Neurocomputing
Volume	168
DOIs	https://doi.org/10.1016/j.neucom.2015.06.021
State	Published - 30 Nov 2015
Externally published	Yes

Keywords

Coupled reaction-diffusion neural networks
Impulsive effects
Input strict passivity
Output strict passivity
Time-varying delay

Access to Document

10.1016/j.neucom.2015.06.021

Cite this

@article{d68a9268758249b8a00d6cc71a3de36b,

title = "Passivity analysis of impulsive coupled reaction-diffusion neural networks with and without time-varying delay",

abstract = "In this paper, we respectively investigate the input strict passivity and output strict passivity of impulsive coupled reaction-diffusion neural networks with and without time-varying delay. By constructing suitable Lyapunov functionals and utilizing some inequality techniques, several input strict passivity and output strict passivity conditions are derived for the impulsive coupled reaction-diffusion neural networks with and without time-varying delay. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the proposed results.",

keywords = "Coupled reaction-diffusion neural networks, Impulsive effects, Input strict passivity, Output strict passivity, Time-varying delay",

author = "Wei, \{Pu Chong\} and Wang, \{Jin Liang\} and Huang, \{Yan Li\} and Xu, \{Bei Bei\} and Ren, \{Shun Yan\}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2015",

month = nov,

day = "30",

doi = "10.1016/j.neucom.2015.06.021",

language = "英语",

volume = "168",

pages = "13--22",

journal = "Neurocomputing",

issn = "0925-2312",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Passivity analysis of impulsive coupled reaction-diffusion neural networks with and without time-varying delay

AU - Wei, Pu Chong

AU - Wang, Jin Liang

AU - Huang, Yan Li

AU - Xu, Bei Bei

AU - Ren, Shun Yan

PY - 2015/11/30

Y1 - 2015/11/30

N2 - In this paper, we respectively investigate the input strict passivity and output strict passivity of impulsive coupled reaction-diffusion neural networks with and without time-varying delay. By constructing suitable Lyapunov functionals and utilizing some inequality techniques, several input strict passivity and output strict passivity conditions are derived for the impulsive coupled reaction-diffusion neural networks with and without time-varying delay. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the proposed results.

AB - In this paper, we respectively investigate the input strict passivity and output strict passivity of impulsive coupled reaction-diffusion neural networks with and without time-varying delay. By constructing suitable Lyapunov functionals and utilizing some inequality techniques, several input strict passivity and output strict passivity conditions are derived for the impulsive coupled reaction-diffusion neural networks with and without time-varying delay. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the proposed results.

KW - Coupled reaction-diffusion neural networks

KW - Impulsive effects

KW - Input strict passivity

KW - Output strict passivity

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/84937813027

U2 - 10.1016/j.neucom.2015.06.021

DO - 10.1016/j.neucom.2015.06.021

M3 - 文章

AN - SCOPUS:84937813027

SN - 0925-2312

VL - 168

SP - 13

EP - 22

JO - Neurocomputing

JF - Neurocomputing

ER -

Passivity analysis of impulsive coupled reaction-diffusion neural networks with and without time-varying delay

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this