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• W2034844590 abstract "We study the stability properties of a class of time-varying non-linear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov functions which guarantee the existence of strict ISS Lyapunov functions for our systems. Next, we provide simple direct constructions of explicit strict ISS Lyapunov functions for our systems by applying an integral smoothing method. We illustrate our constructions using a tracking problem for a rotating rigid body." @default.
• W2034844590 created "2016-06-24" @default.
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• W2034844590 date "2005-11-01" @default.
• W2034844590 modified "2023-10-18" @default.
• W2034844590 title "Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems" @default.
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• W2034844590 doi "https://doi.org/10.1016/j.automatica.2005.05.015" @default.
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