Leader-Following consensus of chaotic fractional-order multi-agent systems using distributed adaptive protocols
Publish place: Caspian Journal of Mathematical Sciences، Vol: 11، Issue: 2
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-11-2_009
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
In this study, the problem of consensus of multi-agent chaotic systems of fractional order is considered. Using the fractional order derivative in Caputo's sense and the classical stability theorem of linear fractional order systems as well as algebraic graph theory, sufficient conditions are provided to ensure consensus for fractional multi-agent systems. The distributed adaptive protocols of each agent are designed using local information and a detailed analysis of the leader-following consensus is presented. Some numerical simulation examples are provided to show the effectiveness of the proposed results.
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Authors
Masoumeh Firouzjah
Department of Mathematics, Payame Noor University, Tehran, Iran
Bashir Naderi
Department of Mathematics, Payame Noor University, POBOX ۱۹۳۹۵-۳۶۹۷ Tehran, Iran
Yousef Edrisi Tabriz
Department of Mathematics, Payame Noor University, Tehran, Iran