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- W2106265031 abstract "Systems x/spl dot/(t)=F(t,x(t),/spl epsi/) depending on a small parameter /spl epsi/ are considered. We introduce a concept of convergence of such a system to a system x/spl dot/(t)=G(x(t)). Assuming this convergence, we prove that global asymptotic for x/spl dot/(t)=G(x(t)) implies some notion of practical stability for x/spl dot/(t)=F(t,x(t),/spl epsi/) if F(/spl middot/,x,/spl epsi/) satisfies a periodicity assumption. We apply this theory to a practical stability analysis of fast time-varying systems studied in periodic averaging, and of highly oscillatory systems studied by Sussmann and Liu (1991). We use this theory for the practical stabilization of a class of driftless control-affine systems." @default.
- W2106265031 created "2016-06-24" @default.
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- W2106265031 date "2002-11-28" @default.
- W2106265031 modified "2023-09-26" @default.
- W2106265031 title "Practical stability for systems depending on a small parameter" @default.
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- W2106265031 doi "https://doi.org/10.1109/cdc.1998.758487" @default.
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