Hybrid synchronization of uncertain generalized Lorenz system by adaptive control
type: Item
instance of: scholarly article
title: Hybrid synchronization of uncertain generalized Lorenz system by adaptive control
zbMATH Open document ID: 1403.93118
DOI: 10.1155/2018/5603639
author: Xinlian Zhou
author: Yuhua Xu
published in: Journal of Control Science and Engineering
publication date: 2018-12-12T00:00:00Z
review text: Summary: This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization methods, hybrid synchronization includes full-order synchronization, reduced-order synchronization, and modified projective synchronization. What is more, control of the stability point, complete synchronization, and antisynchronization can coexist in the same system. Numerical simulations show the effectiveness of this method in a class of chaotic systems.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93A10
zbMATH DE Number: 6992153
zbMATH Keywords: hybrid synchronization
zbMATH Keywords: uncertain generalized Lorenz system
zbMATH Keywords: adaptive control
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5603639
OpenAlex ID: W2789050513
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description: scientific article; zbMATH DE number 6992153