Controlling complex dynamical networks with coupling delays to a desired orbit

Zhi Li; Gang Feng; David Hill

doi:10.1016/j.physleta.2006.05.085

Controlling complex dynamical networks with coupling delays to a desired orbit

Zhi Li^*
, Gang Feng
, David Hill

^*Corresponding author for this work

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

46 Citations (Scopus)

Abstract

A strategy for synchronization of complex dynamical networks with coupling time-delay is proposed based on linear state feedback controllers in this Letter. It is shown that by using the designed controllers, the states of a complex dynamical network with coupling time-delay can globally exponentially synchronize with a desired orbit, and the linear state feedback controller can be easily constructed by a linear matrix inequality which is dependent on the coupling matrix and dynamical characteristics of the isolated node. And moreover, for nearest-neighbor coupling network, the effect of the proposed control scheme is demonstrated via simulations.

Original language	English
Pages (from-to)	42-46
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	359
Issue number	1
DOIs	https://doi.org/10.1016/j.physleta.2006.05.085
Publication status	Published - 6 Nov 2006

Access to Document

10.1016/j.physleta.2006.05.085

Cite this

@article{033b18dd51334753b51862507d655431,

title = "Controlling complex dynamical networks with coupling delays to a desired orbit",

abstract = "A strategy for synchronization of complex dynamical networks with coupling time-delay is proposed based on linear state feedback controllers in this Letter. It is shown that by using the designed controllers, the states of a complex dynamical network with coupling time-delay can globally exponentially synchronize with a desired orbit, and the linear state feedback controller can be easily constructed by a linear matrix inequality which is dependent on the coupling matrix and dynamical characteristics of the isolated node. And moreover, for nearest-neighbor coupling network, the effect of the proposed control scheme is demonstrated via simulations.",

keywords = "Coupling time-delay, Dynamical networks, Global synchronization, Linear matrix inequality",

author = "Zhi Li and Gang Feng and David Hill",

year = "2006",

month = nov,

day = "6",

doi = "10.1016/j.physleta.2006.05.085",

language = "English",

volume = "359",

pages = "42--46",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Controlling complex dynamical networks with coupling delays to a desired orbit

AU - Li, Zhi

AU - Feng, Gang

AU - Hill, David

PY - 2006/11/6

Y1 - 2006/11/6

N2 - A strategy for synchronization of complex dynamical networks with coupling time-delay is proposed based on linear state feedback controllers in this Letter. It is shown that by using the designed controllers, the states of a complex dynamical network with coupling time-delay can globally exponentially synchronize with a desired orbit, and the linear state feedback controller can be easily constructed by a linear matrix inequality which is dependent on the coupling matrix and dynamical characteristics of the isolated node. And moreover, for nearest-neighbor coupling network, the effect of the proposed control scheme is demonstrated via simulations.

AB - A strategy for synchronization of complex dynamical networks with coupling time-delay is proposed based on linear state feedback controllers in this Letter. It is shown that by using the designed controllers, the states of a complex dynamical network with coupling time-delay can globally exponentially synchronize with a desired orbit, and the linear state feedback controller can be easily constructed by a linear matrix inequality which is dependent on the coupling matrix and dynamical characteristics of the isolated node. And moreover, for nearest-neighbor coupling network, the effect of the proposed control scheme is demonstrated via simulations.

KW - Coupling time-delay

KW - Dynamical networks

KW - Global synchronization

KW - Linear matrix inequality

UR - https://www.scopus.com/pages/publications/33748308828

U2 - 10.1016/j.physleta.2006.05.085

DO - 10.1016/j.physleta.2006.05.085

M3 - Article

SN - 0375-9601

VL - 359

SP - 42

EP - 46

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1

ER -

Controlling complex dynamical networks with coupling delays to a desired orbit

Abstract

Access to Document

Other files and links

Fingerprint

Cite this