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.
- 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