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- W4287601248 abstract "Motivated by biochemical reaction networks, a generalization of the classical secant condition for the stability analysis of cyclic interconnected commensurate fractional-order systems is provided. The main result presents a sufficient condition for stability of networks of cyclic interconnection of fractional-order systems when the digraph describing the network conforms to a single circuit. The condition becomes necessary under a special situation where coupling weights are uniform. We then investigate the robustness of fractional-order linear networks. Robustness performance of a fractional-order linear network is quantified using the $mathcal{H}_2$-norm of the dynamical system. Finally, the theoretical results are confirmed via some numerical illustrations." @default.
- W4287601248 created "2022-07-25" @default.
- W4287601248 creator A5058687251 @default.
- W4287601248 date "2020-11-09" @default.
- W4287601248 modified "2023-10-18" @default.
- W4287601248 title "Stability and Robustness Analysis of Commensurate Fractional-order Networks" @default.
- W4287601248 doi "https://doi.org/10.48550/arxiv.2011.04204" @default.
- W4287601248 hasPublicationYear "2020" @default.
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