JournalsaihpcVol. 22, No. 3pp. 343–384

Stratified semiconcave control-Lyapunov functions and the stabilization problem

  • Ludovic Rifford

    Institut Girard Desargues, Université Claude Bernard Lyon I, 43, Bd du 11 Novembre 1918, 69622 Villeurbanne cedex, France
Stratified semiconcave control-Lyapunov functions and the stabilization problem cover
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Abstract

Given a globally asymptotically controllable control system, we construct a control-Lyapunov function which is stratified semiconcave; that is, roughly speaking whose singular set has a Whitney stratification. Then we deduce the existence of smooth feedbacks which make the closed-loop system almost globally asymptotically stable.

Cite this article

Ludovic Rifford, Stratified semiconcave control-Lyapunov functions and the stabilization problem. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 3, pp. 343–384

DOI 10.1016/J.ANIHPC.2004.07.008