By analyzing the issue of chaos synchronization in the literature, it can be noticed the lack of a general approach, which would enable any type of synchronization to be achieved. Similarly, there is the lack of a unified method for synchronizing both continuous-time and discrete-time systems via a scalar signal. This paper and the companion one  aim to bridge these two gaps by presenting a novel general unified framework to synchronize chaotic systems via a scalar signal. The framework, based on the concept of observer, enables any type of synchronization defined to date to be achieved for both continuous-time and discrete-time systems via a scalar signal. This paper focuses on continuous-time systems, while the companion paper  deals with discrete-time systems. Herein, the observer-based framework exploits a structural condition related to the uncontrollable eigenvalues of the error system. Several examples of different types of synchronization are illustrated, with the aim to show the capabilities of the approach. © 2017 IEEE.
Grassi G., Ouannas A., Azar A.T., Radwan A.G., Volos C., Pham V.-T., Ziar T., Madian A., Kyprianidis I.M., Stouboulos I.N.
Chaotic systems; Digital control systems; Discrete time control systems; Eigenvalues and eigenfunctions; Synchronization; Chaos synchronization; Continuous system; Continuous-time; Discrete – time systems; Observer-based; Structural condition; Unified framework; Unified method; Continuous time systems
2017 6th International Conference on Modern Circuits and Systems Technologies, MOCAST 2017, Art. No. 7937629, Doi: 10.1109/MOCAST.2017.7937629