Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory
arXiv:0906.0262 · doi:10.1103/PhysRevE.79.066208
Abstract
Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general situation (but with a constraint) where all the coefficients of the error equation corresponding to the synchronization manifold are time-dependent. These analytical results are also confirmed by numerical simulation of paradigmatic examples.
Accepted for Publication in Physical Review E
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