Predefined-Time Stabilization and Synchronization Adaptive Control for Rössler Systems

This article focuses on the predefined-time adaptive stabilization and the predefined-time synchronization adaptive control problem for Rössler systems. Using the adaptive control approach and the Lyapunov stability theory, we propose a new predefined-time adaptive control scheme which can suppress the chaotic phenomenon and guarantee that the states of the controlled system converge to origin within the predefined-time. Besides, a predefined-time synchronization adaptive control scheme is designed which can achieve the synchronization for two Rössler systems and guarantee that the synchronization errors converge to origin within the predefined-time. Finally, the numerical simulations are presented.