The existence, uniqueness and global exponential stability of periodic solution for a coupled system on networks with time delays

Xinhong Zhang; Wenxue Li; Ke Wang

doi:10.1016/j.neucom.2015.08.053

The existence, uniqueness and global exponential stability of periodic solution for a coupled system on networks with time delays

Xinhong Zhang
, Wenxue Li^*
, Ke Wang

^*Corresponding author for this work

China University of Petroleum (East China)
Harbin Institute of Technology Weihai

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

7 Scopus citations

Abstract

This paper investigates a type of coupled system on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov function method, we establish sufficient conditions for the existence, uniqueness and global exponential stability of periodic solution of CSND. Moreover, the conditions we obtain are easy to be verified. Finally, we give a numerical example to illustrate the effectiveness of the results developed.

Original language	English
Pages (from-to)	971-978
Number of pages	8
Journal	Neurocomputing
Volume	173
DOIs	https://doi.org/10.1016/j.neucom.2015.08.053
State	Published - 15 Jan 2016
Externally published	Yes

Keywords

Coincidence degree theory
Coupled systems on networks
Global exponential stability
Graph theory
Periodic solutions

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10.1016/j.neucom.2015.08.053

Cite this

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title = "The existence, uniqueness and global exponential stability of periodic solution for a coupled system on networks with time delays",

abstract = "This paper investigates a type of coupled system on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov function method, we establish sufficient conditions for the existence, uniqueness and global exponential stability of periodic solution of CSND. Moreover, the conditions we obtain are easy to be verified. Finally, we give a numerical example to illustrate the effectiveness of the results developed.",

keywords = "Coincidence degree theory, Coupled systems on networks, Global exponential stability, Graph theory, Periodic solutions",

author = "Xinhong Zhang and Wenxue Li and Ke Wang",

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AU - Zhang, Xinhong

AU - Li, Wenxue

AU - Wang, Ke

PY - 2016/1/15

Y1 - 2016/1/15

N2 - This paper investigates a type of coupled system on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov function method, we establish sufficient conditions for the existence, uniqueness and global exponential stability of periodic solution of CSND. Moreover, the conditions we obtain are easy to be verified. Finally, we give a numerical example to illustrate the effectiveness of the results developed.

AB - This paper investigates a type of coupled system on networks with time delays (CSND). By the combined method of graph theory, coincidence degree theory and Lyapunov function method, we establish sufficient conditions for the existence, uniqueness and global exponential stability of periodic solution of CSND. Moreover, the conditions we obtain are easy to be verified. Finally, we give a numerical example to illustrate the effectiveness of the results developed.

KW - Coincidence degree theory

KW - Coupled systems on networks

KW - Global exponential stability

KW - Graph theory

KW - Periodic solutions

UR - https://www.scopus.com/pages/publications/84959333090

U2 - 10.1016/j.neucom.2015.08.053

DO - 10.1016/j.neucom.2015.08.053

M3 - 文章

AN - SCOPUS:84959333090

SN - 0925-2312

VL - 173

SP - 971

EP - 978

JO - Neurocomputing

JF - Neurocomputing

ER -

The existence, uniqueness and global exponential stability of periodic solution for a coupled system on networks with time delays

Abstract

Keywords

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