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Semiconcave control-Lyapunov functions and stabilizing feedbacks. (English) Zbl 1034.93053
The author gives a discontinuous feedback built upon a semiconcave control Lyapunov function. The existence of such a Lyapunov function is derived from the paper of the author [ibid. 39, 1043–1064 (2000; Zbl 0982.93068)]. The feedback law is continuous outside a small set (of measure zero). Moreover, this set is repulsive for Carath√©odory solutions of the closed-loop system.

MSC:
93D15 Stabilization of systems by feedback
93D30 Lyapunov and storage functions
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