Adaptive lag synchronization for uncertain complex dynamical network with delayed coupling

Ji, D. H.; Jeong, Seongcheol; Park, Ju H.; Lee, Sang Moon; Won, Sangchul

doi:10.1016/j.amc.2011.10.051

Cited by 89 publications

(48 citation statements)

References 29 publications

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“…Synchronization is one of the phenomena in complex networks, which was confirmed (Du et al, 2013, Park and Kwon 2009, Park, 2009. Synchronization include 'inner synchronization' which was recently confirmed (Ji et al, 2012;Zhou and Chen, 2002) and 'outer inner' which was confirmed (Liu et al, 2009;Ji et al, 2012;Wang et al, 2010). The 'inner synchronization' means that all the nodes of the networks eventually approach to trajectory of a target node.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Generalized Function Projective Delay Synchronizationin Uncertain Complex Dynamical Networks with Time Delay and Disturbance via Hybrid Feedback Control

2016

Revista de la Facultad de Ingeniería

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In this paper, the hybrid generalized function projective delay synchronization in uncertain complex dynamical networks with disturbance and time delay are investigated. When the parameters and the interior of the uncertain complex network exist disturbance, a hybrid feedback controller is designed to realize hybrid generalized function projective delay synchronization and parameters identification for uncertain complex dynamical networks. This paper investigates synchronization in complex dynamical networks with constant time delay and synchronization in complex dynamical networks with time-varying delay. Numerical simulations are provided to show the effectiveness of the theoretical analysis.Keywords: hybrid generalized function projective delay synchronization, uncertain complex dynamical networks, hybrid feedback control.

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Section: Introductionmentioning

confidence: 99%

Hybrid Generalized Function Projective Delay Synchronizationin Uncertain Complex Dynamical Networks with Time Delay and Disturbance via Hybrid Feedback Control

2016

Revista de la Facultad de Ingeniería

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“…Different from [6,10,22,29,40], the proposed conditions in this paper depend on the timevarying delays. Moreover, in [16,35], the time-varying delay meets σ(t) = d(t), which is a strong condition, and most of the situations do not have this property.…”

Section: Synchronization Via the Adaptive Feedback Pinning Controlmentioning

confidence: 99%

“…In this paper, the coupling configuration matrices are not required to be identical, symmetric or irreducible. Moreover, different from [6,10,40], in our paper the non-delayed inner connecting matrix, the discrete-delay inner connecting matrix and the distributed-delay inner connecting matrix are arbitrary real matrices.…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Lag synchronization of complex dynamical networks with hybrid coupling via adaptive pinning control

Zhang¹,

Yang²,

Zhong³

2016

J. Nonlinear Sci. Appl.

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In this paper, the problem of the lag synchronization between two general complex dynamical networks with mixed coupling by pinning control is studied. Based on the Lyaponov functional theory and mathematical analysis method, less conservative conditions of lag synchronization are obtained by adding the controllers to part of nodes. Moreover, the coupling configuration matrices are not required to be symmetric or irreducible. It is shown that the lag synchronization of the drive and response systems can be realized via the linear feedback pinning control and adaptive feedback pinning control. These results remove some restrictions on the node dynamics and the number of the pinned nodes. Numerical examples are presented to illustrate the effectiveness of the theoretical results.

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“…The research of complex network synchronization is one of the most important research directions on complex networks [6][7][8]. Up to now, many types of synchronization phenomena on complex networks have been reported, such as complete synchronization [9,10], projective synchronization [11,12], lag synchronization [13], lag projective synchronization [14], bounded synchronization [3], projective cluster synchronization [15], and global synchronization [16].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Modified Function Projective Synchronization of Uncertain Complex Dynamical Networks with Multiple Time-Delay Couplings and Disturbances

Fang

Liu

Sun

2018

Mathematical Problems in Engineering

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This paper studies the modified function projective synchronization of uncertain complex dynamic network model with multiple time-delay couplings and external disturbances. Based on Lyapunov stability theory, the positive definite function is designed and the sufficient conditions of synchronization are given. Both the uncertain parameters and the unknown bounded disturbances are estimated in accordance with the adaptive laws. With the adaptive feedback controller, the complex dynamic network can synchronize with reference node by a scaling function matrix. The reference node can be periodic orbit, equilibrium point, or a chaotic attractor. Finally, two numerical simulations are offered to illustrate the effectiveness of the proposed method.

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Adaptive lag synchronization for uncertain complex dynamical network with delayed coupling

Cited by 89 publications

References 29 publications

Hybrid Generalized Function Projective Delay Synchronizationin Uncertain Complex Dynamical Networks with Time Delay and Disturbance via Hybrid Feedback Control

Hybrid Generalized Function Projective Delay Synchronizationin Uncertain Complex Dynamical Networks with Time Delay and Disturbance via Hybrid Feedback Control

Lag synchronization of complex dynamical networks with hybrid coupling via adaptive pinning control

Adaptive Modified Function Projective Synchronization of Uncertain Complex Dynamical Networks with Multiple Time-Delay Couplings and Disturbances

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