Application of contraction theory for Synchronization of complex chaotic T-system

Resumen

In this paper, we investigate the synchronization of the complex chaotic T-system, with known and unknown parameters. In addition, the behavior of this system for new parameters is discussed. The controllers and estimation rule of unknown parameter are designed by using contraction theory (CT). The main feature of the proposed approach is that the control design and the stability of the synchronization error are obtained without using Lyapunov functions.
The numerical simulations confirm that the purposed method is robust and applicable for mentioned systems.