Stability analysis of impulsive parabolic complex networks with multiple time-varying delays

Jin Liang Wang; Huai Ning Wu; Lei Guo

doi:10.1016/j.neucom.2012.05.024

Stability analysis of impulsive parabolic complex networks with multiple time-varying delays

Jin Liang Wang
, Huai Ning Wu^*
, Lei Guo

^*Corresponding author for this work

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

9 Scopus citations

Abstract

In the present paper, a new impulsive parabolic complex network (IPCN) with time-varying delays is proposed. Then, by constructing appropriate Lyapunov functionals and utilizing inequality techniques, some sufficient conditions are given to ensure that the proposed network model is globally exponentially stable. Furthermore, when the parameter uncertainties appear in the IPCN, several robust global exponential stability conditions are also presented. Finally, two examples with numerical simulations are provided to demonstrate the effectiveness of our criteria.

Original language	English
Pages (from-to)	364-373
Number of pages	10
Journal	Neurocomputing
Volume	97
DOIs	https://doi.org/10.1016/j.neucom.2012.05.024
State	Published - 15 Nov 2012

Keywords

Global exponential stability (GES)
Impulsive parabolic complex network (IPCN)
Robust global exponential stability (RGES)
Time-varying delays

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10.1016/j.neucom.2012.05.024

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title = "Stability analysis of impulsive parabolic complex networks with multiple time-varying delays",

abstract = "In the present paper, a new impulsive parabolic complex network (IPCN) with time-varying delays is proposed. Then, by constructing appropriate Lyapunov functionals and utilizing inequality techniques, some sufficient conditions are given to ensure that the proposed network model is globally exponentially stable. Furthermore, when the parameter uncertainties appear in the IPCN, several robust global exponential stability conditions are also presented. Finally, two examples with numerical simulations are provided to demonstrate the effectiveness of our criteria.",

keywords = "Global exponential stability (GES), Impulsive parabolic complex network (IPCN), Robust global exponential stability (RGES), Time-varying delays",

author = "Wang, \{Jin Liang\} and Wu, \{Huai Ning\} and Lei Guo",

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AU - Wang, Jin Liang

AU - Wu, Huai Ning

AU - Guo, Lei

PY - 2012/11/15

Y1 - 2012/11/15

N2 - In the present paper, a new impulsive parabolic complex network (IPCN) with time-varying delays is proposed. Then, by constructing appropriate Lyapunov functionals and utilizing inequality techniques, some sufficient conditions are given to ensure that the proposed network model is globally exponentially stable. Furthermore, when the parameter uncertainties appear in the IPCN, several robust global exponential stability conditions are also presented. Finally, two examples with numerical simulations are provided to demonstrate the effectiveness of our criteria.

AB - In the present paper, a new impulsive parabolic complex network (IPCN) with time-varying delays is proposed. Then, by constructing appropriate Lyapunov functionals and utilizing inequality techniques, some sufficient conditions are given to ensure that the proposed network model is globally exponentially stable. Furthermore, when the parameter uncertainties appear in the IPCN, several robust global exponential stability conditions are also presented. Finally, two examples with numerical simulations are provided to demonstrate the effectiveness of our criteria.

KW - Global exponential stability (GES)

KW - Impulsive parabolic complex network (IPCN)

KW - Robust global exponential stability (RGES)

KW - Time-varying delays

UR - https://www.scopus.com/pages/publications/84865339779

U2 - 10.1016/j.neucom.2012.05.024

DO - 10.1016/j.neucom.2012.05.024

M3 - 文章

AN - SCOPUS:84865339779

SN - 0925-2312

VL - 97

SP - 364

EP - 373

JO - Neurocomputing

JF - Neurocomputing

ER -

Stability analysis of impulsive parabolic complex networks with multiple time-varying delays

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Keywords

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