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Firouzjah, Masoumeh, Naderi, Bashir, Edrisi Tabriz, Yousef. (1401). Leader-Following consensus of chaotic fractional-order multi-agent systems using distributed adaptive protocols. پژوهشنامه مدیریت اجرایی, 11(2), 480-494. doi: 10.22080/cjms.2021.20942.1570
Masoumeh Firouzjah; Bashir Naderi; Yousef Edrisi Tabriz. "Leader-Following consensus of chaotic fractional-order multi-agent systems using distributed adaptive protocols". پژوهشنامه مدیریت اجرایی, 11, 2, 1401, 480-494. doi: 10.22080/cjms.2021.20942.1570
Firouzjah, Masoumeh, Naderi, Bashir, Edrisi Tabriz, Yousef. (1401). 'Leader-Following consensus of chaotic fractional-order multi-agent systems using distributed adaptive protocols', پژوهشنامه مدیریت اجرایی, 11(2), pp. 480-494. doi: 10.22080/cjms.2021.20942.1570
Firouzjah, Masoumeh, Naderi, Bashir, Edrisi Tabriz, Yousef. Leader-Following consensus of chaotic fractional-order multi-agent systems using distributed adaptive protocols. پژوهشنامه مدیریت اجرایی, 1401; 11(2): 480-494. doi: 10.22080/cjms.2021.20942.1570

Leader-Following consensus of chaotic fractional-order multi-agent systems using distributed adaptive protocols

Caspian Journal of Mathematical Sciences
دوره 11، شماره 2، 2022، صفحه 480-494    اصل مقاله (347.61 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2021.20942.1570
نویسندگان
Masoumeh Firouzjah1؛ Bashir Naderi* 2؛ Yousef Edrisi Tabriz1
1Department of Mathematics, Payame Noor University, Tehran, Iran
2Department of Mathematics, Payame Noor University, POBOX 19395-3697 Tehran, Iran
تاریخ دریافت: 19 بهمن 1399،  تاریخ بازنگری: 14 آبان 1400،  تاریخ پذیرش: 26 آبان 1400 
چکیده
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.
کلیدواژه‌ها
Consensus؛ Fractional-order؛ Chaos؛ Multi-agent systems؛ Algebraic graph theory
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تعداد مشاهده مقاله: 268
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