Dislocation synchronization of the different complex value chaotic systems based on single adaptive sliding mode controller
type: Item
instance of: scholarly article
title: Dislocation synchronization of the different complex value chaotic systems based on single adaptive sliding mode controller
zbMATH Open document ID: 1394.34126
DOI: 10.1155/2015/240586
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Based on the active control and the adaptive sliding mode controller, a new method of the combination of the active control and the single adaptive sliding mode variable structure control is proposed to realize the dislocation synchronization of the three-dimensional different complex value chaotic systems. The synchronization method is suitable not only for the same complex value chaotic systems, but also for different complex value chaotic systems, so it expands the application of the single sliding mode controller. For the states in the complex space of the driving system and response system, the synchronization for the complex state of the two different chaotic systems is achieved according to the dislocation relationship, not in accordance with the corresponding relationship. The complexity of complex value chaotic system and the diversity of dislocation synchronization increase the security of the chaotic secure communication. This single adaptive sliding mode variable structure controller is simple, and it can enhance the robustness of the system. Theoretical analysis and numerical simulation prove the feasibility and effectiveness of the controller designed.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 6925843
Wikidata QID: Q59117703
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/240586
OpenAlex ID: W1502605870
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description: scientific article; zbMATH DE number 6925843