Simple adaptive output-feedback lag-synchronization of multiple time-delayed chaotic systems

Abstract

In this letter, a simple adaptive output-feedback controller is designed for lag-synchronization of two multiple time-delayed chaotic systems in the presence of uncertainty, external disturbances, and input nonlinearity. Based on Lyapunov stability theorem and adaptive techniques, sufficient conditions for lag-synchronization of these two systems are achieved. To deal with the existence of unknown time-delays in the system dynamics, the novel Lyapunov-Krasovskii functionals are used. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos lag-synchronization scheme.