Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control

Tae H. Lee; Ju H. Park; D. H. Ji; O. M. Kwon; S. M. Lee

doi:10.1016/j.amc.2011.11.112

Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control

Tae H. Lee
, Ju H. Park^*
, D. H. Ji
, O. M. Kwon
, S. M. Lee

^*Corresponding author for this work

Division of Electronic Engineering

Yeungnam University
Samsung
Chungbuk National University
Daegu University

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

84 Scopus citations

Abstract

In this paper, the problem of guaranteed cost synchronization for a complex network is investigated. In order to achieve the synchronization, two types of guaranteed cost dynamic feedback controller are designed. Based on Lyapunov stability theory, a linear matrix inequality (LMI) convex optimization problem is formulated to find the controller which guarantees the asymptotic stability and minimizes the upper bound of a given quadratic cost function. Finally, a numerical example is given to illustrate the proposed method.

Original language	English
Pages (from-to)	6469-6481
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	218
Issue number	11
DOIs	https://doi.org/10.1016/j.amc.2011.11.112
State	Published - 2012.02.5

Keywords

Complex dynamical network
Dynamic feedback controller
Guaranteed cost control
Synchronization

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10.1016/j.amc.2011.11.112

Cite this

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title = "Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control",

abstract = "In this paper, the problem of guaranteed cost synchronization for a complex network is investigated. In order to achieve the synchronization, two types of guaranteed cost dynamic feedback controller are designed. Based on Lyapunov stability theory, a linear matrix inequality (LMI) convex optimization problem is formulated to find the controller which guarantees the asymptotic stability and minimizes the upper bound of a given quadratic cost function. Finally, a numerical example is given to illustrate the proposed method.",

keywords = "Complex dynamical network, Dynamic feedback controller, Guaranteed cost control, Synchronization",

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AU - Park, Ju H.

AU - Ji, D. H.

AU - Kwon, O. M.

AU - Lee, S. M.

PY - 2012/2/5

Y1 - 2012/2/5

N2 - In this paper, the problem of guaranteed cost synchronization for a complex network is investigated. In order to achieve the synchronization, two types of guaranteed cost dynamic feedback controller are designed. Based on Lyapunov stability theory, a linear matrix inequality (LMI) convex optimization problem is formulated to find the controller which guarantees the asymptotic stability and minimizes the upper bound of a given quadratic cost function. Finally, a numerical example is given to illustrate the proposed method.

AB - In this paper, the problem of guaranteed cost synchronization for a complex network is investigated. In order to achieve the synchronization, two types of guaranteed cost dynamic feedback controller are designed. Based on Lyapunov stability theory, a linear matrix inequality (LMI) convex optimization problem is formulated to find the controller which guarantees the asymptotic stability and minimizes the upper bound of a given quadratic cost function. Finally, a numerical example is given to illustrate the proposed method.

KW - Complex dynamical network

KW - Dynamic feedback controller

KW - Guaranteed cost control

KW - Synchronization

UR - https://www.scopus.com/pages/publications/84855891745

U2 - 10.1016/j.amc.2011.11.112

DO - 10.1016/j.amc.2011.11.112

M3 - Journal article

AN - SCOPUS:84855891745

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VL - 218

SP - 6469

EP - 6481

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 11

ER -

Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control

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Keywords

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