Time-varying synchronization of chaotic systems in the presence of system mismatch.

The problem of synchronization of two identical chaotic systems in the presence of system mismatch is investigated in this article. The instantaneous mean square error (E) of the unidirectionally coupled synchronization scheme is analyzed based on the Jacobian equation of the response system. It is shown that synchronization based on a constant coupling parameter does not produce satisfactory performance. A synchronization scheme is proposed here, and the time-varying coupling parameter sequence used in this new scheme is obtained by minimizing the instantaneous E. Numerical simulations show that the proposed time-varying synchronization method has smaller mean square synchronization error than the conventional approach based on using a constant coupling parameter.