Existence of Lipschitz and semiconcave control-Lyapunov functions
Rifford, Ludovic
HAL, hal-00768995 / Harvested from HAL
Text on HAL
Given a locally Lipschitz control system which is globally asymptotically controllable at 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.
Publié le : 2000-11-08
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-00768995,
     author = {Rifford, Ludovic},
     title = {Existence of Lipschitz and semiconcave control-Lyapunov functions},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00768995}
}

Rifford, Ludovic. Existence of Lipschitz and semiconcave control-Lyapunov functions. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00768995/