Global finite-time synchronization of different dimensional chaotic systems
| dc.contributor.author | Zhang, Daoyuan | |
| dc.contributor.author | Mei, Jun | |
| dc.contributor.author | Miao, Peng | |
| dc.date.accessioned | 2017-08-14T08:04:19Z | |
| dc.date.issued | 2017-08 | |
| dc.description.abstract | This paper addresses the problem of global finite-time synchronization of two different dimensional chaotic systems. Firstly, the definition of global finite-time synchronization of different dimensional chaotic systems are introduced. Based on the finite-time stability methods, the controller is designed such that the chaotic systems are globally synchronized in a finite time. Then, some uncertain parameters are adopted in the chaotic systems, new control law and dynamical parameter estimation are proposed to guarantee that the global finite-time synchronization can be obtained. By considering a dynamical parameter designed in the controller, the adaptive updated controller is also designed to achieve the desired results. At last, the results of two different dimensional chaotic systems are also extended to two different dimensional networked chaotic systems. Finally, three numerical examples are given to verify the validity of the proposed methods. | en_ZA |
| dc.description.department | Electrical, Electronic and Computer Engineering | en_ZA |
| dc.description.embargo | 2018-08-30 | |
| dc.description.librarian | hj2017 | en_ZA |
| dc.description.uri | http//www.elsevier.com/locate/apm | en_ZA |
| dc.identifier.citation | Zhang, D., Mei, J. & Miao, P. 2017, 'Global finite-time synchronization of different dimensional chaotic systems', Applied Mathematical Modelling, vol. 48, pp. 303-315. | en_ZA |
| dc.identifier.issn | 1872-8480 (online) | |
| dc.identifier.issn | 0307-904X (print) | |
| dc.identifier.other | 10.1016/j.apm.2017.04.009 | |
| dc.identifier.uri | http://hdl.handle.net/2263/61634 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Elsevier | en_ZA |
| dc.rights | © 2017 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Applied Mathematical Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Applied Mathematical Modelling, vol. 48, pp. 303-315, 2017, doi : 10.1016/j.apm.2017.04.009. | en_ZA |
| dc.subject | Finite-time synchronization | en_ZA |
| dc.subject | Chaotic systems | en_ZA |
| dc.subject | Different orders | en_ZA |
| dc.subject | Uncertain parameters | en_ZA |
| dc.title | Global finite-time synchronization of different dimensional chaotic systems | en_ZA |
| dc.type | Postprint Article | en_ZA |