Feedback stabilization and Lyapunov functions
Clarke, F.H. ; Ledyaev, Yury ; Rifford, Ludovic ; Stern, R.J.
HAL, hal-00768992 / Harvested from HAL
Text on HAL
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given tolerance. A further result shows that suitable Lyapunov functions of this type exist under mild assumptions. We also establish a robustness property of the feedback relative to measurement error commensurate with the sampling rate of the control im- plementation scheme.
Publié le : 2000-07-05
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-00768992,
     author = {Clarke, F.H. and Ledyaev, Yury and Rifford, Ludovic and Stern, R.J.},
     title = {Feedback stabilization and Lyapunov functions},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00768992}
}

Clarke, F.H.; Ledyaev, Yury; Rifford, Ludovic; Stern, R.J. Feedback stabilization and Lyapunov functions. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00768992/