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Group consensus of fractional-order heterogeneous multi-agent systems with random packet losses and communication delays

Author

Listed:
  • Sun, Fenglan
  • Han, Yunpeng
  • Wu, Xiaoshuai
  • Zhu, Wei
  • Kurths, Jürgen

Abstract

The group consensus problem of heterogeneous fractional-order multi-agent systems with data packet losses and communication delays is investigated in this paper, and data packet losses are described by the Bernoulli-distribution. Inspired by genetic and the infinite memory property of the Caputo fractional derivative, a novel group consensus control protocol based on sampled data is designed. Sufficient conditions for mean-square group consensus of heterogeneous fractional-order multi-agent systems are derived by using matrix theory, Gerschgorin disc theorem and graph theory. Finally, numerical simulation examples are given to verify the correctness of the theoretical results.

Suggested Citation

  • Sun, Fenglan & Han, Yunpeng & Wu, Xiaoshuai & Zhu, Wei & Kurths, Jürgen, 2024. "Group consensus of fractional-order heterogeneous multi-agent systems with random packet losses and communication delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    • Handle: RePEc:eee:phsmap:v:636:y:2024:i:c:s0378437124000554
    DOI: 10.1016/j.physa.2024.129547
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    References listed on IDEAS

    as
    1. Xu, Bingchu & Yang, Yongqing, 2022. "Group consensus of nonlinear multiagent system with switching topology under DoS attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    2. Liu, Chao & Li, Rong & Liu, Bo, 2022. "Group-bipartite consensus of heterogeneous multi-agent systems over signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    Full references (including those not matched with items on IDEAS)

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