Abstract
In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 3531-3541 |
| Number of pages | 11 |
| Journal | Modern Physics Letters B |
| Volume | 23 |
| Issue number | 29 |
| DOIs | |
| Publication status | Published - 2009 Nov 20 |
| Externally published | Yes |
Keywords
- Linear matrix inequality (LMI)
- Lyapunov-Krasovskii theory
- Passivity-based synchronization
- Time-delayed chaotic systems
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Condensed Matter Physics