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Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator

Author

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  • Chunde Yang
  • Wenjing Li
  • Wei Zhu

Abstract

In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies . Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.

Suggested Citation

  • Chunde Yang & Wenjing Li & Wei Zhu, 2017. "Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-8, January.
    • Handle: RePEc:hin:jnddns:9256532
    DOI: 10.1155/2017/9256532
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    Cited by:

    1. Changhui Wang & Mei Liang & Yongsheng Chai, 2019. "Adaptive Neural Network Control of a Class of Fractional Order Uncertain Nonlinear MIMO Systems with Input Constraints," Complexity, Hindawi, vol. 2019, pages 1-15, November.
    2. Liu, Song & Yang, Ran & Li, Xiaoyan & Xiao, Jian, 2021. "Global attractiveness and consensus for Riemann–Liouville’s nonlinear fractional systems with mixed time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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