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

Fenglan Sun, Yunpeng Han, Xiaoshuai Wu, Wei Zhu and Jürgen Kurths

Physica A: Statistical Mechanics and its Applications, 2024, vol. 636, issue C

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.

Keywords: Fractional-order; Heterogeneous multi-agent systems; Group consensus; Random packet loss (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:636:y:2024:i:c:s0378437124000554

DOI: 10.1016/j.physa.2024.129547

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