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• W2301127110 abstract "The notion ofHomogeneity weighted weighted homogeneity is extended to time-delay systems. It is shown that the stability (resp., instability) ofHomogeneity homogeneous functional systems homogeneous functional systems on a sphere implies the global stability (resp., instability) of the system. The notion of local homogeneity is introduced, and a relation between stability and instability of the locally approximating dynamics and the original time-delay system is established using a Lyapunov-Razumikhin approach. An implication between homogeneity and input-to-state stability is investigated. Examples of applications of the proposed theory are given." @default.
• W2301127110 created "2016-06-24" @default.
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• W2301127110 date "2015-07-15" @default.
• W2301127110 modified "2023-09-26" @default.
• W2301127110 title "Global and Local Weighted Homogeneity for Time-Delay Systems" @default.
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• W2301127110 doi "https://doi.org/10.1007/978-3-319-18072-4_8" @default.
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