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• W2154369072 abstract "We study the relationship between the following two properties: P1: The system ẋ = f(x, y), ẏ = v is locally asymptotically stabilizable; and P2: The system ẋ = f(x, u) is locally asymptotically stabilizable; where x ϵ Rn, y ϵ R. Dayawansa, Martin and Knowles have proved that these properties are equivalent if the dimension n = 1. Here, using the so called Control Lyapunov function approach, (a) we propose another more constructive and somewhat simpler proof of Dayawansa, Martin and Knowles's result; (b) we show that, in general, P1 does not imply P2 for dimensions n larger than 1; (c) we prove that P2 implies P1 if some extra assumptions are added like homogeneity of the system. By using the latter result recursively, we obtain a sufficient condition for the local asymptotic stabilizability of systems in a triangular form." @default.
• W2154369072 created "2016-06-24" @default.
• W2154369072 creator A5078067756 @default.
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• W2154369072 date "1991-08-01" @default.
• W2154369072 modified "2023-10-03" @default.
• W2154369072 title "Adding an integrator for the stabilization problem" @default.
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• W2154369072 doi "https://doi.org/10.1016/0167-6911(91)90034-c" @default.
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