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Synchronization of the chaotic fractional-order multi-agent systems under partial contraction theory | ||
| Journal of Mathematical Modeling | ||
| مقاله 12، دوره 11، شماره 3، دی 2023، صفحه 603-615 اصل مقاله (248.96 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.23686.2115 | ||
| نویسندگان | ||
| Masoumeh Firouzjahi1؛ Bashir Naderi* 2؛ Akbar Shokri Firouzjaee3 | ||
| 1Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 2Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 3Project specialist at Elpro GmbH, Berlin, Germany | ||
| چکیده | ||
| In this paper, a new synchronization criterion for leader-follower fractional-order chaotic systems using partial contraction theory under an undirected fixed graph is presented. Without analyzing the stability of the error system, first the condition of partial contraction theory for the synchronization of fractional systems is explained, and then the input control vector is designed to apply the condition. An important feature of this control method is the rapid convergence of all agents into a common state. Finally, numerical examples with corresponding simulations are presented to demonstrate the efficiency and performance of the stated method in controlling fractional-order systems. The simulation results show the appropriate design of the proposed control input. | ||
| کلیدواژه‌ها | ||
| Synchronization؛ fractional systems؛ multi-agent systems؛ contraction theory؛ graph theory؛ partial contraction theory | ||
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آمار تعداد مشاهده مقاله: 208 تعداد دریافت فایل اصل مقاله: 261 |
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