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Control and Synchronization of the Genesio-Tesi Chaotic System: A Contraction Analysis-Based Graphical Method | ||
Control and Optimization in Applied Mathematics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 تیر 1402 | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.30473/coam.2023.65079.1211 | ||
نویسندگان | ||
Mehdi Zavieh1؛ Hossein Kheiri* 2؛ Bashir Naderi1 | ||
1Department of Mathematics, Payame Noor University (PNU), Tehran, Iran. | ||
2Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Contraction analysis؛ Graphical method؛ Chaotic systems؛ Control؛ Synchronization | ||
مراجع | ||
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