Abstract
This article is motivated by recent efforts concerned with finding continuous feedback laws u = α(x) that asymptotically stabilize control systems of the form ẋ = f(x, u) on R n. In particular we try to link ideas from nonlinear generalizations of the classical zero-dynamics techniques (compare e.g. [3, 10]), and results on asymptotic feedback stabilization of homogeneous systems (compare e.g. [1, 6, 7]).
This work was partially supported by NSF grants DMS 88-05815 and DMS 90-07547 and an Arizona State University FGIA grant
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© 1991 Birkhäuser Boston
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Kawski, M. (1991). Families of Dilations and Asymptotic Stability. In: Bonnard, B., Bride, B., Gauthier, JP., Kupka, I. (eds) Analysis of Controlled Dynamical Systems. Progress in Systems and Control Theory, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3214-8_25
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DOI: https://doi.org/10.1007/978-1-4612-3214-8_25
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