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

School of Electronics Engineering

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

83 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 - 5 Feb 2012

Keywords

Complex dynamical network
Dynamic feedback controller
Guaranteed cost control
Synchronization

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10.1016/j.amc.2011.11.112

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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.

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

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