Abstract
This paper addresses a unified mathematical expression describing a class of chaotic systems, for which the problem of synchronization and anti-synchronization between different chaotic systems with fully uncertain parameters and different structure are studied. Based on the Lyapunov stability theory, a novel, simple, and systemic adaptive synchronization controller is designated, the analytic expression of the controller and the adaptive laws of parameters are developed. Moreover, the proposed scheme can be extended to anti-synchronize a class of chaotic systems. Two chaotic systems with different structure and fully uncertain parameters are employed as the examples to show the effectiveness of the proposed adaptive synchronization and anti-synchronization schemes. Additionally, the robustness and noise immunity of the adaptive synchronization scheme is investigated by measuring the mean squared error of the systems. © 2010 Springer Science+Business Media B.V.
| Original language | English |
|---|---|
| Pages (from-to) | 263-275 |
| Journal | Nonlinear Dynamics |
| Volume | 63 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - Jan 2011 |
Research Keywords
- (Anti-)synchronization
- Adaptive control
- Chaotic systems
- Different structure
- Fully uncertain parameters
Fingerprint
Dive into the research topics of 'Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver