CHAOS SYNCHRONIZATION: FROM THE GENESIS TO POLYTOPIC OBSERVERS

This paper focuses on chaos synchronization. The history of this famous problem is traced from an automatic control point of view. First, it is recalled the two synchronization schemes introduced by Pecora and Carroll in 1990 called heterogeneous and homogeneous driving. Then, it is described how chaos synchronization has turned into an observer design problem during the years 1997s. Finally, the interest of the authors of this paper to a special class of observers, named polytopic observers is motivated.