Control and Synchronization of the Genesio-Tesi Chaotic System‎: ‎A Contraction Analysis-Based Graphical Method‎

In this paper‎, ‎we use a graphical algorithm to control and synchronization of a chaotic system‎. ‎Most of the controllers designed for synchronizing chaotic systems are complex‎, ‎but the controllers designed using contraction and graphical methods are often simple and linear‎. ‎Therefore‎, ‎we explain the relationship between contraction analysis and the graphical method for controlling and synchronizing chaotic systems‎. ‎We apply this approach to control and synchronize the chaotic Genesio-Tesi system‎. ‎The stability of the error system in synchronization is investigated using the contraction method‎. ‎Finally‎, ‎we provide numerical simulations to demonstrate the effectiveness of the proposed method‎.

کلیدواژه ها:

Contraction analysis‎ ، ‎Graphical method‎ ، ‎Chaotic systems‎ ، ‎Control‎ ، ‎Synchronization