Abstract
In this paper, the effects of time delay on chaotic master-slave synchronization scheme are considered. Using delayed feedback control scheme, a delay-dependent stability criterion is derived for the synchronization of chaotic systems that are represented by Lur'e system with sector-restricted nonlinearities. The derived criterion is a sufficient condition for absolute stability of error dynamics between the master and the slave system. Using a convex representation of the nonlinearity, the stability condition based on the Lyapunov-Krasovskii functional is obtained via LMI formulation. The proposed delay-dependent synchronization criterion is less conservative than the existing ones. The effectiveness of our work is verified through numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 277-288 |
| Number of pages | 12 |
| Journal | Nonlinear Dynamics |
| Volume | 59 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Jan 2010 |
Keywords
- Absolute stability
- Delay-dependent criterion
- LMIs
- Lur'e systems
- Synchronization
Fingerprint
Dive into the research topics of 'Synchronization for chaotic Lur'e systems with sector-restricted nonlinearities via delayed feedback control'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver