Linear matrix inequality based fuzzy synchronization for fractional order chaos
type: Item
instance of: scholarly article
title: Linear matrix inequality based fuzzy synchronization for fractional order chaos
zbMATH Open document ID: 1394.34133
DOI: 10.1155/2015/128580
author: Bin Wang
author: Hongbo Cao
author: Delan Zhu
author: Yu-Zhu Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper investigates fuzzy synchronization for fractional order chaos via linear matrix inequality. Based on generalized Takagi-Sugeno fuzzy model, one efficient stability condition for fractional order chaos synchronization or antisynchronization is given. The fractional order stability condition is transformed into a set of linear matrix inequalities and the rigorous proof details are presented. Furthermore, through fractional order linear time-invariant (LTI) interval theory, the approach is developed for fractional order chaos synchronization regardless of the system with uncertain parameters. Three typical examples, including synchronization between an integer order three-dimensional (3D) chaos and a fractional order 3D chaos, anti-synchronization of two fractional order hyperchaos, and the synchronization between an integer order 3D chaos and a fractional order 4D chaos, are employed to verify the theoretical results.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 6925527
Wikidata QID: Q59117318
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/128580
OpenAlex ID: W1551999353
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description: scientific article; zbMATH DE number 6925527