Abstract
In this paper, we propose a new passivity-based synchronization method for two different chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system between two different chaotic systems not only passive but also asymptotically stable. It is shown that the proposed controller can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. As an application of the proposed method, the synchronization problem between Rossler system and Genesio-Tesi system is investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 287-292 |
| Number of pages | 6 |
| Journal | International Journal of Physical Sciences |
| Volume | 5 |
| Issue number | 4 |
| Publication status | Published - 2010 Apr |
| Externally published | Yes |
Keywords
- Linear matrix inequality (LMI)
- Lyapunov stability theory
- Passivity-based synchronization
- Two different chaotic systems
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)