EXPONENTIALLY ADAPTIVE SYNCHRONIZATION OF AN UNCERTAINDELAYED DYNAMICAL NETWORK

Qunjiao ZHANG;Jun'an LU

系统科学与复杂性(英文) ›› 2011, Vol. 24 ›› Issue (2) : 207-217.

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系统科学与复杂性(英文) ›› 2011, Vol. 24 ›› Issue (2) : 207-217. DOI: 10.1007/s11424-011-8304-0
论文

EXPONENTIALLY ADAPTIVE SYNCHRONIZATION OF AN UNCERTAINDELAYED DYNAMICAL NETWORK

    Qunjiao ZHANG(1), Jun'an LU(2)
作者信息 +

EXPONENTIALLY ADAPTIVE SYNCHRONIZATION OF AN UNCERTAINDELAYED DYNAMICAL NETWORK

    Qunjiao ZHANG(1), Jun'an LU(2)
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摘要

Over the past decades, complex networks have been prosperous greatly in various fields of sciences and engineering. Much attention has been given to investigate the synchronization of complex networks in recent years. However, few work has done for the networks with uncertain parameters and unknown topology. In this paper, to further reveal the dynamical mechanism in complex networks with time delays, an uncertain general complex dynamical network with delayed nodes is studied. By constructing a drive network and a suitable slave network, several novel criteria for the networks consisting of the identical nodes and different nodes have been obtained based on the adaptive feedback method. Particularly, the hypotheses and the proposed adaptive laws for network synchronization are simple and can be readily applied in practical applications. Finally, numerical simulations are provided to illustrate the effectiveness of the proposed synchronization criteria.

Abstract

Over the past decades, complex networks have been prosperous greatly in various fields of sciences and engineering. Much attention has been given to investigate the synchronization of complex networks in recent years. However, few work has done for the networks with uncertain parameters and unknown topology. In this paper, to further reveal the dynamical mechanism in complex networks with time delays, an uncertain general complex dynamical network with delayed nodes is studied. By constructing a drive network and a suitable slave network, several novel criteria for the networks consisting of the identical nodes and different nodes have been obtained based on the adaptive feedback method. Particularly, the hypotheses and the proposed adaptive laws for network synchronization are simple and can be readily applied in practical applications. Finally, numerical simulations are provided to illustrate the effectiveness of the proposed synchronization criteria.

关键词

Adaptive feedback synchronization / complex networks / delayed nodes / uncertain parameter / unknown topology.

Key words

Adaptive feedback synchronization / complex networks / delayed nodes / uncertain parameter / unknown topology.

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Qunjiao ZHANG;Jun'an LU. EXPONENTIALLY ADAPTIVE SYNCHRONIZATION OF AN UNCERTAINDELAYED DYNAMICAL NETWORK. 系统科学与复杂性(英文), 2011, 24(2): 207-217 https://doi.org/10.1007/s11424-011-8304-0
Qunjiao ZHANG;Jun'an LU. EXPONENTIALLY ADAPTIVE SYNCHRONIZATION OF AN UNCERTAINDELAYED DYNAMICAL NETWORK. Journal of Systems Science and Complexity, 2011, 24(2): 207-217 https://doi.org/10.1007/s11424-011-8304-0
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