Laboratory for Control, Learning, and Systems Biology

Papers by Z. Lin and E.D. Sontag

2000
  1. ▪X. Bao, Z. Lin, E.D. Sontag, "Finite gain stabilization of discrete-time linear systems subject to actuator saturation", Automatica, vol. 36, no. 2, pp. 269–277, 2000. pdf
    discrete-time · saturation · input-to-state stability · stabilization · ISS · bounded inputs
    Abstract

    It is shown that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain lp stabilization can be achieved by linear output feedback, for all p>1. An explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closed-loop system that is globally asymptotically stable, and in an input-to-state estimate.

1998
  1. ▪X. Bao, Z. Lin, E.D. Sontag, "Some new results on finite gain l_p stabilization of discrete-time linear systems subject to actuator saturation", In Proc.\ IEEE Conf.\ Decision and Control, Tampa, Dec.\ 1998, IEEE Publications, 1998, pp. 4628–4629, 1998.
    saturation · bounded inputs