A model of feedback control system on network and its stability analysis

Huan Su; Yanbin Qu; Shang Gao; Huihui Song; Ke Wang

doi:10.1016/j.cnsns.2012.10.018

A model of feedback control system on network and its stability analysis

Huan Su^*
, Yanbin Qu
, Shang Gao
, Huihui Song
, Ke Wang

^*Corresponding author for this work

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

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

25 Scopus citations

Abstract

A model of feedback control system on network is constructed. Some criterions ensuring the robust stability and global exponential stability for the model are established, by applying Lyapunov method and generalized Kirchhoff's matrix tree theorem. These criterions have a close relation to the topology property of networks. Finally, two examples and simulations are provided to illustrate the theoretical results.

Original language	English
Pages (from-to)	1822-1831
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	18
Issue number	7
DOIs	https://doi.org/10.1016/j.cnsns.2012.10.018
State	Published - Jul 2013
Externally published	Yes

Keywords

Exponential stability
Feedback control systems
Networks
Robust stability

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10.1016/j.cnsns.2012.10.018

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title = "A model of feedback control system on network and its stability analysis",

abstract = "A model of feedback control system on network is constructed. Some criterions ensuring the robust stability and global exponential stability for the model are established, by applying Lyapunov method and generalized Kirchhoff's matrix tree theorem. These criterions have a close relation to the topology property of networks. Finally, two examples and simulations are provided to illustrate the theoretical results.",

keywords = "Exponential stability, Feedback control systems, Networks, Robust stability",

author = "Huan Su and Yanbin Qu and Shang Gao and Huihui Song and Ke Wang",

year = "2013",

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T1 - A model of feedback control system on network and its stability analysis

AU - Su, Huan

AU - Qu, Yanbin

AU - Gao, Shang

AU - Song, Huihui

AU - Wang, Ke

PY - 2013/7

Y1 - 2013/7

N2 - A model of feedback control system on network is constructed. Some criterions ensuring the robust stability and global exponential stability for the model are established, by applying Lyapunov method and generalized Kirchhoff's matrix tree theorem. These criterions have a close relation to the topology property of networks. Finally, two examples and simulations are provided to illustrate the theoretical results.

AB - A model of feedback control system on network is constructed. Some criterions ensuring the robust stability and global exponential stability for the model are established, by applying Lyapunov method and generalized Kirchhoff's matrix tree theorem. These criterions have a close relation to the topology property of networks. Finally, two examples and simulations are provided to illustrate the theoretical results.

KW - Exponential stability

KW - Feedback control systems

KW - Networks

KW - Robust stability

UR - https://www.scopus.com/pages/publications/84873570296

U2 - 10.1016/j.cnsns.2012.10.018

DO - 10.1016/j.cnsns.2012.10.018

M3 - 文章

AN - SCOPUS:84873570296

SN - 1007-5704

VL - 18

SP - 1822

EP - 1831

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 7

ER -

A model of feedback control system on network and its stability analysis

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Keywords

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