Existence of Lipschitz and Semiconcave Control-Lyapunov Functions
نویسنده
چکیده
Given a locally Lipschitz control system which is globally asymptotically controllable to the origin, we construct a control-Lyapunov function for the system which is Lipschitz on bounded sets and we deduce the existence of another one which is semiconcave (and so locally Lipschitz) outside the origin. The proof relies on value functions and nonsmooth calculus.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 39 شماره
صفحات -
تاریخ انتشار 2000