Summary
Using methods from the multivalued analysis we show the existence of feedback controls which “stabilizes” a given closed set \( K \subseteq {\mathbb{R}^n} \) satisfying a suitable regularity property with respect to the dynamics of a nonlinear control system. For this, we study the structure and the properties of the external contingent Bouligand cone toKand we use a suitable selection theorem of the regulation map associated to the system.
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Dedicated to Alfonso Vignoli on the occasion of his 60th birthday
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Górniewicz, L., Nistri, P. (2000). Feedback Stability of Closed Sets for Nonlinear Control Systems. In: Appell, J. (eds) Recent Trends in Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 40. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8411-2_16
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DOI: https://doi.org/10.1007/978-3-0348-8411-2_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9556-9
Online ISBN: 978-3-0348-8411-2
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