Abstract
In this paper, the lag synchronization problem is considered for chaotic dynamical systems with external disturbance via input-to-state stability (ISS). A sufficient condition for determining the lag synchronization between the drive and corresponding response systems is derived based on Lyapunov theory. The proposed ISS lag synchronization controller guarantees the exponential lag synchronization and achieves the bounded lag synchronization error for any bounded disturbance. The effectiveness of the proposed schemes is verified via numerical simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 2762-2767 |
| Number of pages | 6 |
| Journal | International Journal of Physical Sciences |
| Volume | 6 |
| Issue number | 11 |
| Publication status | Published - 2011 Jun 4 |
| Externally published | Yes |
Keywords
- Chaotic systems
- Input-to-state stability (ISS)
- Lag synchronization
- Linear matrix inequality (LMI)
- Lyapunov theory
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)