Parameters identification of chaotic systems with time delay coupling

Chaos synchronization based parameter identification between two chaotic systems with time delay is investigated. Parameters identification of chaotic systems with the time delay coupling is a significant problem because of it potential application in engineering. We proposed a parameters estimation scheme to estimate all the unknown parameters of the interested system. The sufficient condition for synchronization and parameters estimation are shown analytically using Krasovskii-Lyapunov theory. The coupling strength not only has relationship to the functional form, but also to the time delays. Numerical simulations based on the Lorenz system are presented to verify the effectiveness of the proposed scheme.