Laboratory for Control, Learning, and Systems Biology

nonlinear regulation

2007
  1. ▪E.D. Sontag, "Input to state stability: Basic concepts and results", In Nonlinear and Optimal Control Theory, pp. 163–220, 2007. pdf
    input to state stability · nonlinear systems · detectability · nonlinear regulation
    Abstract

    This expository presentation, prepared for a summer course, addresses the precise formulation of questions of robustness with respect to disturbances, using the paradigm of input to state stability. It provides an intuitive and informal presentation of the main concepts.

1981
  1. ▪E.D. Sontag, "Conditions for abstract nonlinear regulation", Information and Control, vol. 51, no. 2, pp. 105–127, 1981. pdf
    feedback stabilization · nonlinear systems · real-analytic functions
    Abstract

    A paper that introduces a separation principle for general finite dimensional analytic continuous-time systems, proving the equivalence between existence of an output regulator (which is an abstract dynamical system) and certain "0-detectability" and asymptotic controllability assumptions.

  2. ▪E.D. Sontag, "Nonlinear regulation: the piecewise linear approach", IEEE Trans. Automat. Control, vol. 26, no. 2, pp. 346–358, 1981. pdf
    hybrid systems
    Abstract

    Development of an approach to nonlinear control based on mixtures of linear systems and finite automata. File obtained by scanning.

1980
  1. ▪E.D. Sontag, "Nonlinear regulation, the piecewise linear approach", In Proc.Princeton Conf.on Information Sciences and Systems, Princeton, March 1980, 1980.
    piecewise linear systems