1997
- ▪F. H. Clarke, Y.S. Ledyaev, E.D. Sontag, A.I. Subbotin, "Asymptotic controllability implies feedback stabilization", IEEE Trans. Automat. Control, vol. 42, no. 10, pp. 1394–1407, 1997. pdf
Abstract
It is shown that every asymptotically controllable system can be stabilized by means of some (discontinuous) feedback law. One of the contributions of the paper is in defining precisely the meaning of stabilization when the feedback rule is not continuous. The main ingredients in our construction are: (a) the notion of control-Lyapunov function, (b) methods of nonsmooth analysis, and (c) techniques from positional differential games.
1996
- ▪F.H. Clarke, Y.S. Ledyaev, E.D. Sontag, A.I. Subbotin, "Asymptotic controllability and feedback stabilization", In Proc.\ Conf.\ on Information Sciences and Systems (CISS 96)\/Princeton, NJ, pp. 1232–1237, 1996.