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Application of Fractional-Order Calculus in a Class of Multi-agent Systems

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Complex Systems and Networks

Part of the book series: Understanding Complex Systems ((UCS))

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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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Authors and Affiliations

  1. Department of Mathematics, Southeast University, Nanjing, 210096, Jiangsu Province, People’s Republic of China

    Wenwu Yu, Guanghui Wen & Yang Li

Authors
  1. Wenwu Yu
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  2. Guanghui Wen
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  3. Yang Li
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Corresponding author

Correspondence to Wenwu Yu .

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Editors and Affiliations

  1. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China

    Jinhu Lü

  2. School of Electrical and Computer Engineering, RMIT University, Melbourne, Australia

    Xinghuo Yu

  3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China

    Guanrong Chen

  4. Department of Mathematics, Southeast University, Nanjing, China

    Wenwu Yu

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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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  • DOI: https://doi.org/10.1007/978-3-662-47824-0_9

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  • Print ISBN: 978-3-662-47823-3

  • Online ISBN: 978-3-662-47824-0

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