Master-slave synchronization of Lur'e systems with time-delay


Yalcin M. E. , SUYKENS J., VANDEWALLE J.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.11, ss.1707-1722, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 11 Konu: 6
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1142/s021812740100295x
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Sayfa Sayıları: ss.1707-1722

Özet

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.