Finite-time transmission projective synchronization of multiple different chaotic systems with unknown parameters via adaptive control

In this study, problems of finite-time transmission projective synchronization of multiple different chaotic systems with unknown parameters are investigated using adaptive control methods. The adaptive laws are derived to estimate unknown parameters of systems. The nonlinear adaptive controllers are designed to guarantee finite-time stability of the error systems so that all chaotic systems can projective synchronization with each other. Finally, a numerical example is presented to demonstrate the effectiveness and validity of the obtained results.