| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 2, April 2022
|
|
|---|---|---|
| Page(s) | 135 - 141 | |
| DOI | https://doi.org/10.1051/wujns/2022272135 | |
| Published online | 20 May 2022 | |
Mathematics
CLC number: O231
Finite-Time Generalized Synchronization and Parameter Identification of Chaotic Systems with Different Dimensions
1
Department of Science Teaching, Dingxi Campus, Gansu University of Chinese Medicine, Dingxi
743000, Gansu, China
2
School of Public Health, Gansu University of Chinese Medicine, Lanzhou
730000, Gansu, China
Received:
5
November
2021
Finite-time generalized synchronization and parameter identification of chaotic systems with different dimensions are studied in this paper. Based on finite-time stability theory, adaptive controllers and parameter identification rules are proposed to realize generalized synchronization of chaotic systems and identify accurately all their unknown parameters in finite time. At the same time, the obtained synchronization time formula can estimate the required longest time for realizing the generalized synchronization of chaotic systems, which solely depends on the initial values of chaotic systems and is easily calculated in numerical simulation. At the last, some numerical examples are presented to illustrate the effectiveness and correctness of the obtained conclusions.
Key words: finite-time generalized synchronization / parameter identification / chaotic systems with different dimensions
Biography: LI Dekui, male, Associate professor, Master, research direction: the theory and apply of chaotic system. E-mail: dkli2009@163.com
Foundation item: Supported by the National Natural Science Foundation of China (11161027) , Natural Science Foundation of Gansu Province (21JR1RA259, 20JR10RA329) and the Foundation of Gansu Education Bureau (2020A-191)
© Wuhan University 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.