Abstract
This chapter is concerned with fractional-order consensus problem in multi-agent systems. A brief introduction of fractional-order calculus is given in Sect. 9.1. The design of observer for consensus of a linear fractional-order multi-agent system is discussed in Sect. 9.2. Section 9.3 considers a multi-agent system consisting of second-order leader and fractional-order followers where a necessary and sufficient condition of tracking consensus is derived by using only the relative local position information of neighboring agents. The stabilization consensus problem of uncertain fractional-order multi-agent system is investigated in Sect. 9.4.
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Acknowledgments
This work was supported by the National Science Fund for Excellent Young Scholars under Grant No. 61322302, the National Natural Science Foundation of China under Grant No. 61304168, the Six Talent Peaks of Jiangsu Province of China under Grant No. 2014-DZXX-004, and the Fundamental Research Funds for the Central Universities of China.
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Yu, W., Wen, G., Li, Y. (2016). Application of Fractional-Order Calculus in a Class of Multi-agent Systems. In: Lü, J., Yu, X., Chen, G., Yu, W. (eds) Complex Systems and Networks. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47824-0_9
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