Combination-combination projective synchronization of multiple chaotic systems using sliding mode control
type: Item
instance of: scholarly article
title: Combination-combination projective synchronization of multiple chaotic systems using sliding mode control
zbMATH Open document ID: 1405.93066
DOI: 10.1155/2018/2031942
author: Y. Aharonov
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: Based on projective synchronization and combination synchronization model, a type of combination-combination projective synchronization is realized via nonsingular sliding mode control technique for multiple different chaotic systems. Concretely, on the basic of the adaptive laws and stability theory, the corresponding sliding mode control surfaces and controllers are designed to achieve the combination-combination projective synchronization between the combination of two chaotic systems as drive system and the combination of multiple chaotic systems as response system with disturbances. Some criteria and corollaries are derived for combination-combination projective synchronization of the multiple different chaotic systems. Finally, the numerical simulation results are presented to demonstrate the effectiveness and correctness of the synchronization scheme.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 6991932
zbMATH Keywords: projective synchronization
zbMATH Keywords: multiple chaotic systems
zbMATH Keywords: sliding mode control
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2031942
OpenAlex ID: W2885487038
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description: scientific article; zbMATH DE number 6991932