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- W4385569499 abstract "This paper tackles the consensus problem for a group of multi-agent systems communicating over a directed network. Our networked system consists of general fractional-order dynamic systems with order <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$alpha in [1,2)$</tex-math></inline-formula> in continuous time. This presents a more challenging issue than the previous research on simple single/double fractional-order integrators. Specifically, we investigate the consensus issue for agents described by fractional-order systems with general linear dynamics, which presents a challenge due to the limited applicability of existing tools for integer-order models. To address this, we utilize spectral graph theory and fractional-order systems theory to derive several equivalent conditions without conservatism for such systems where agents communicate through directed graphs. We develop a tractable convex programming algorithm for controller design based on the obtained results. We then demonstrate the effectiveness of our proposed approach through simulations on higher-order dynamic systems and fractional-order circuits." @default.
- W4385569499 created "2023-08-05" @default.
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- W4385569499 date "2023-01-01" @default.
- W4385569499 modified "2023-10-14" @default.
- W4385569499 title "Necessary and Sufficient Conditions on Consensus of General Fractional-Order Multi-agent Systems over Directed Networks" @default.
- W4385569499 doi "https://doi.org/10.1109/tnse.2023.3301015" @default.
- W4385569499 hasPublicationYear "2023" @default.
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