Weighted input to state stability for delay coupled systems on networks

Huihui Song; Ningning Xu; Yanbin Qu; Wenxue Li

doi:10.1016/j.apm.2016.02.001

Weighted input to state stability for delay coupled systems on networks

Huihui Song
, Ningning Xu
, Yanbin Qu
, Wenxue Li^*

^*Corresponding author for this work

School of Information Science and Engineering, Harbin Institute of Technology Weihai
Harbin Institute of Technology Weihai

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

2 Scopus citations

Abstract

In this paper, the weighted input to state stability (ISS) for a general delay coupled system on networks (DCSNs) is investigated. A simple criterion ensuring the weighted ISS of DCSNs is established, by applying Lyapunov method. A systematic method for constructing Lyapunov function of the DCSNs is provided by graph theory. To make the results more understandable, we apply them to a coupled oscillators with control input, and sufficient conditions for weighted ISS are obtained. Finally, a numerical example demonstrates effectiveness and feasibility of the obtained results.

Original language	English
Pages (from-to)	6234-6242
Number of pages	9
Journal	Applied Mathematical Modelling
Volume	40
Issue number	13-14
DOIs	https://doi.org/10.1016/j.apm.2016.02.001
State	Published - 1 Jul 2016
Externally published	Yes

Keywords

Delay coupled systems
Input to stable state
Networks

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10.1016/j.apm.2016.02.001

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title = "Weighted input to state stability for delay coupled systems on networks",

abstract = "In this paper, the weighted input to state stability (ISS) for a general delay coupled system on networks (DCSNs) is investigated. A simple criterion ensuring the weighted ISS of DCSNs is established, by applying Lyapunov method. A systematic method for constructing Lyapunov function of the DCSNs is provided by graph theory. To make the results more understandable, we apply them to a coupled oscillators with control input, and sufficient conditions for weighted ISS are obtained. Finally, a numerical example demonstrates effectiveness and feasibility of the obtained results.",

keywords = "Delay coupled systems, Input to stable state, Networks",

author = "Huihui Song and Ningning Xu and Yanbin Qu and Wenxue Li",

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year = "2016",

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TY - JOUR

T1 - Weighted input to state stability for delay coupled systems on networks

AU - Song, Huihui

AU - Xu, Ningning

AU - Qu, Yanbin

AU - Li, Wenxue

PY - 2016/7/1

Y1 - 2016/7/1

N2 - In this paper, the weighted input to state stability (ISS) for a general delay coupled system on networks (DCSNs) is investigated. A simple criterion ensuring the weighted ISS of DCSNs is established, by applying Lyapunov method. A systematic method for constructing Lyapunov function of the DCSNs is provided by graph theory. To make the results more understandable, we apply them to a coupled oscillators with control input, and sufficient conditions for weighted ISS are obtained. Finally, a numerical example demonstrates effectiveness and feasibility of the obtained results.

AB - In this paper, the weighted input to state stability (ISS) for a general delay coupled system on networks (DCSNs) is investigated. A simple criterion ensuring the weighted ISS of DCSNs is established, by applying Lyapunov method. A systematic method for constructing Lyapunov function of the DCSNs is provided by graph theory. To make the results more understandable, we apply them to a coupled oscillators with control input, and sufficient conditions for weighted ISS are obtained. Finally, a numerical example demonstrates effectiveness and feasibility of the obtained results.

KW - Delay coupled systems

KW - Input to stable state

KW - Networks

UR - https://www.scopus.com/pages/publications/84976232129

U2 - 10.1016/j.apm.2016.02.001

DO - 10.1016/j.apm.2016.02.001

M3 - 文章

AN - SCOPUS:84976232129

SN - 0307-904X

VL - 40

SP - 6234

EP - 6242

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 13-14

ER -

Weighted input to state stability for delay coupled systems on networks

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Keywords

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