Adaptive modified function projective synchronization of uncertain complex dynamical networks with multiple time-delay couplings and disturbances
type: Item
instance of: scholarly article
title: Adaptive modified function projective synchronization of uncertain complex dynamical networks with multiple time-delay couplings and disturbances
zbMATH Open document ID: 1427.34069
DOI: 10.1155/2018/6384757
author: Jie Fang
author: Na Liu
author: Junwei Sun
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 7019289
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6384757
OpenAlex ID: W2787264740
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description: scientific article; zbMATH DE number 7019289