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Some Necessary and Sufficient Conditions for Consensus of Fractional-Order Multi-agent Systems with Input Delay and Sampled Data

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10984))

Abstract

In this paper, the consensus of fractional-order multi-agent systems subject to input delay is investigated by sampled data method on directed graph. By applying the Laplace transform and the technique of inequality, some necessary and sufficient conditions for achieving consensus of the delay systems are obtained. It is shown that the consensus of the delay systems has relationships with the order of the derivative, the sampling period, delay, coupling strength, and communication topology. Lastly, a numerical simulation is given to illustrate the theoretical results.

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Correspondence to Yanyan Ye .

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Ye, Y., Su, H., Geng, T., Wang, X., Chen, Z. (2018). Some Necessary and Sufficient Conditions for Consensus of Fractional-Order Multi-agent Systems with Input Delay and Sampled Data. In: Chen, Z., Mendes, A., Yan, Y., Chen, S. (eds) Intelligent Robotics and Applications. ICIRA 2018. Lecture Notes in Computer Science(), vol 10984. Springer, Cham. https://doi.org/10.1007/978-3-319-97586-3_3

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  • DOI: https://doi.org/10.1007/978-3-319-97586-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97585-6

  • Online ISBN: 978-3-319-97586-3

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