Portal de Periódicos da CAPES

Generalized projective synchronization in time-delayed systems: Nonlinear observer approach

2009; American Institute of Physics; Volume: 19; Issue: 1 Linguagem: Inglês

10.1063/1.3054711

1527-2443

Dibakar Ghosh,

stochastic dynamics and bifurcation

In this paper, we consider the projective-anticipating, projective, and projective-lag synchronization in a unified coupled time-delay system via nonlinear observer design. A new sufficient condition for generalized projective synchronization is derived analytically with the help of Krasovskii–Lyapunov theory for constant and variable time-delay systems. The analytical treatment can give stable synchronization (anticipatory and lag) for a large class of time-delayed systems in which the response system’s trajectory is forced to have an amplitude proportional to the drive system. The constant of proportionality is determined by the control law, not by the initial conditions. The proposed technique has been applied to synchronize Ikeda and prototype models by numerical simulation.