Consensus of fractional-order multi-agent systems with linear models via observer-type protocol

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• 作者：Wei Zhu ; ^{zhuwei@cqupt.edu.cn}Author Vitae ; Wenjing LiAuthor Vitae ; Ping ZhouAuthor Vitae ; Chunde YangAuthor Vitae
• 关键词：Consensus ; Fractional-order ; Multi-agent systems ; Observer-type protocol
• 刊名：Neurocomputing
• 出版年：2017
• 出版时间：22 March 2017
• 年：2017
• 卷：230
• 期：Complete
• 页码：60-65
• 全文大小：712 K
• 卷排序：230

文摘

In this paper, the consensus of fractional-order multi-agent systems with general linear models is investigated , where the fractional-order α   satisfies 0<α≤n0<α≤n for any given natural number n. A distributed observer-type protocol is proposed. By applying the fractional-order stability theory, properties of the Kronecker product, Mittag-Leffler function and Laplace transform, a sufficient condition is obtained under the assumption that each agent is stabilizable and detectable. Finally, a numerical simulation is presented to illustrate the usefulness of the theoretical result, which shows that the result obtained in this paper generalizes and improves some existing results in literature.