Stability Analysis and Control of a New Smooth Chua's System
Joint Authors
Zhou, Guopeng
Liao, Xiaoxin
Cheng, Shijie
Huang, Jinhua
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with the stability analysis and control of a new smooth Chua's system.
Firstly, the chaotic characteristic of the system is confirmed with the aid of the Lyapunov exponents.
Secondly, it is proved that the system has globally exponential attractive set and positive invariant set.
For the three unstable equilibrium points of the system, a linear controller is designed to globally exponentially stabilize the equilibrium points.
Then, a linear controller and an adaptive controller are, respectively, proposed so that two similar types of smooth Chua's systems are globally synchronized, and the estimation errors of the uncertain parameters converge to zero as t tends to infinity.
Finally, the numerical simulations are also presented.
American Psychological Association (APA)
Zhou, Guopeng& Huang, Jinhua& Liao, Xiaoxin& Cheng, Shijie. 2013. Stability Analysis and Control of a New Smooth Chua's System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-485741
Modern Language Association (MLA)
Zhou, Guopeng…[et al.]. Stability Analysis and Control of a New Smooth Chua's System. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-485741
American Medical Association (AMA)
Zhou, Guopeng& Huang, Jinhua& Liao, Xiaoxin& Cheng, Shijie. Stability Analysis and Control of a New Smooth Chua's System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-485741
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485741