Laboratory for Control, Learning, and Systems Biology

Papers by G.A. Lafferriere and E.D. Sontag

1993
  1. ▪G.A. Lafferriere, E.D. Sontag, "Remarks on control Lyapunov functions for discontinuous stabilizing feedback", In Proc.\ IEEE Conf.\ Decision and Control, San Antonio, Dec.\ 1993, IEEE Publications, 1993, pp. 306–308, 1993. pdf
    feedback stabilization
    Abstract

    We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth control-Lyapunov function exists. The resulting feedback is continuous at the origin and smooth everywhere except on a hypersurface of codimension 1, assuming that certain transversality conditions are imposed there.