International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Wednesday Evening

Session WE3: Control Applications on Electrical Systems


Chair: Romeu Reginatto - Brazil
Co-chair: Alvaro Giusto - Uruguay
Room: Santiago
2007-10-17
From 16:00 to 18:00
Studies of Synchronization in Nonlinear Systems Using the Gronwall Inequality
A. P. Mijolaro; L. F. C. Alberto; N. G. Bretas
Contact: Ana Paula Mijolaro - Brazil
16:20-16:40
Abstract:
In this paper, the asymptotic behavior of a class of nonlinear coupled dynamical systems is studied. Conditions of the coupling parameters guarantee synchronization between these systems are provided for every situation starting in a positively invariant region of initial conditions. One synchronization is proved for systems that do not have global dissipativeness, another for unstable systems. Synchronization of two coupled nonlinear pendulums is proved in the proposed theory. Copyright © 2007 IFAC.