Semiconcave control-Lyapunov functions and stabiliizing feedbacks
Rifford, Ludovic
HAL, hal-00769001 / Harvested from HAL
Text on HAL
We study the general problem of stabilization of globally asymptotically controllable systems. We construct discontinuous feedback laws, and particularly we make it possible to choose these continuous outside a small set (closed with measure zero) of discontinuity in the case of control systems which are affine in the control; moreover this set of singularities is shown to be repulsive for the Carathéodory solutions of the closed-loop system under an additional assumption.
Publié le : 2002-07-24
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-00769001,
     author = {Rifford, Ludovic},
     title = {Semiconcave control-Lyapunov functions and stabiliizing feedbacks},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00769001}
}

Rifford, Ludovic. Semiconcave control-Lyapunov functions and stabiliizing feedbacks. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00769001/