Laboratory for Control, Learning, and Systems Biology

input/output system representations

1992
  1. ▪Y. Wang, E.D. Sontag, "Generating series and nonlinear systems: analytic aspects, local realizability, and i/o representations", Forum Math., vol. 4, no. 3, pp. 299–322, 1992. pdf
    identifiability · observability · realization theory · input/output system representations · real-analytic functions
    Abstract

    This paper studies fundamental analytic properties of generating series for nonlinear control systems, and of the operators they define. It then applies the results obtained to the extension of facts, which relate realizability and algebraic input/output equations, to local realizability and analytic equations.

  2. ▪Y. Wang, E.D. Sontag, "Algebraic differential equations and rational control systems", SIAM J. Control Optim., vol. 30, no. 5, pp. 1126–1149, 1992. pdf
    identifiability · observability · realization theory · input/output system representations
    Abstract

    It is shown that realizability of an input/output operators by a finite-dimensional continuous-time rational control system is equivalent to the existence of a high-order algebraic differential equation satisfied by the corresponding input/output pairs ("behavior"). This generalizes, to nonlinear systems, the classical equivalence between autoregressive representations and finite dimensional linear realizability.