Abstract
In this paper time-delay effects on the master-slave synchronization scheme are investigated. Sufficient conditions for master-slave synchronization of Lur'e systems are presented for a known time-delay in the master and slave systems. A delay-dependent synchronization criterion is given based upon a new Lyapunov-Krasovskii function. The derived criterion is a sufficient condition for global asymptotic stability of the error system, expressed by means of a matrix inequality. The feedback matrix follows from solving a nonlinear optimization problem. The method is illustrated for the synchronization of Chua's circuits, 5-scroll attractors and hyperchaotic attractors.
| Original language | English |
|---|---|
| Pages (from-to) | 1707-1722 |
| Number of pages | 16 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 11 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 2001 |
| Externally published | Yes |