Laboratory for Control, Learning, and Systems Biology

Papers by M. Marcondes de Freitas and E.D. Sontag

2015
  1. ▪M. Marcondes de Freitas, E.D. Sontag, "A small-gain theorem for random dynamical systems with inputs and outputs", SIAM J. Control and Optimization, vol. 53, pp. 2657-2695, 2015. pdf
    random dynamical systems · monotone systems · small-gain theorem · stochastic systems
    Abstract

    A formalism for the study of random dynamical systems with inputs and outputs (RDSIO) is introduced. An axiomatic framework and basic properties of RDSIO are developed, and a theorem is shown that guarantees the stability of interconnected systems.

2013
  1. ▪M. Marcondes de Freitas, E.D. Sontag, "Random dynamical systems with inputs", In Nonautonomous Dynamical Systems in the Life Sciences, Lecture Notes in Mathematics vol.\ 2102, pp. 41-87, 2013. pdf
    random dynamical systems · monotone systems
    Abstract

    This work introduces a notion of random dynamical systems with inputs, providing several basic definitions and results on equilibria and convergence. It also presents a "converging input to converging state" result, a concept that plays a key role in the analysis of stability of feedback interconnections, for monotone systems.

  2. ▪M. Marcondes de Freitas, E.D. Sontag, "A class of random control systems: Monotonicity and the convergent-input convergent-state property", In Proc. American Control Conference, pp. 4564-4569, 2013. pdf
    random dynamical systems · monotone systems