Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology

Tae H. Lee; D. H. Ji; Ju H. Park; H. Y. Jung

doi:10.1016/j.amc.2012.07.004

Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology

Tae H. Lee
, D. H. Ji
, Ju H. Park^*
, H. Y. Jung

^*Corresponding author for this work

Division of Electronic Engineering

Yeungnam University
Samsung

Research output: Contribution to journal › Journal article › peer-review

52 Scopus citations

Abstract

This paper considers synchronization problem of a complex dynamical network with randomly switching topology which means that the topology of a complex network probabilistically switches. For this problem, a decentralized guaranteed cost dynamic feedback controller is designed to achieve the synchronization of the network. Based on Lyapunov stability theory and linear matrix inequality framework, the existence condition for feasible controllers is derived in terms of linear matrix inequalities. Finally, the proposed method is applied to two numerical examples in order to show the effectiveness of our result.

Original language	English
Pages (from-to)	996-1010
Number of pages	15
Journal	Applied Mathematics and Computation
Volume	219
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2012.07.004
State	Published - 2012.10.15

Keywords

Complex network
Decentralized dynamic controller
Guaranteed cost problem
Randomly switching topology
Synchronization

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10.1016/j.amc.2012.07.004

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title = "Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology",

abstract = "This paper considers synchronization problem of a complex dynamical network with randomly switching topology which means that the topology of a complex network probabilistically switches. For this problem, a decentralized guaranteed cost dynamic feedback controller is designed to achieve the synchronization of the network. Based on Lyapunov stability theory and linear matrix inequality framework, the existence condition for feasible controllers is derived in terms of linear matrix inequalities. Finally, the proposed method is applied to two numerical examples in order to show the effectiveness of our result.",

keywords = "Complex network, Decentralized dynamic controller, Guaranteed cost problem, Randomly switching topology, Synchronization",

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year = "2012",

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AU - Lee, Tae H.

AU - Ji, D. H.

AU - Park, Ju H.

AU - Jung, H. Y.

PY - 2012/10/15

Y1 - 2012/10/15

N2 - This paper considers synchronization problem of a complex dynamical network with randomly switching topology which means that the topology of a complex network probabilistically switches. For this problem, a decentralized guaranteed cost dynamic feedback controller is designed to achieve the synchronization of the network. Based on Lyapunov stability theory and linear matrix inequality framework, the existence condition for feasible controllers is derived in terms of linear matrix inequalities. Finally, the proposed method is applied to two numerical examples in order to show the effectiveness of our result.

AB - This paper considers synchronization problem of a complex dynamical network with randomly switching topology which means that the topology of a complex network probabilistically switches. For this problem, a decentralized guaranteed cost dynamic feedback controller is designed to achieve the synchronization of the network. Based on Lyapunov stability theory and linear matrix inequality framework, the existence condition for feasible controllers is derived in terms of linear matrix inequalities. Finally, the proposed method is applied to two numerical examples in order to show the effectiveness of our result.

KW - Complex network

KW - Decentralized dynamic controller

KW - Guaranteed cost problem

KW - Randomly switching topology

KW - Synchronization

UR - https://www.scopus.com/pages/publications/84867332565

U2 - 10.1016/j.amc.2012.07.004

DO - 10.1016/j.amc.2012.07.004

M3 - Journal article

AN - SCOPUS:84867332565

SN - 0096-3003

VL - 219

SP - 996

EP - 1010

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology

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Keywords

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