Constructive nonsmooth stabilization of a class of nonlinear single-input systems

This paper concentrates on the explicit construction of stabilizers for singular triangular form systems, where in general only nonsmooth or time varying asymptotic stabilizers are available, For this class of systems a sufficient condition of continuous stabilizability was given by Coron-Praly (1991). However, the method used there does not lead to an explicit construction of the stabilizer. The constructive results presented in this paper stem from the ideas originally given by Aranda-Bricaire et al. and Celikovsky (1996)