Laboratory for Control, Learning, and Systems Biology

observation space

1989
  1. ▪Y. Wang, E.D. Sontag, "On two definitions of observation spaces", Systems Control Lett., vol. 13, no. 4, pp. 279–289, 1989. doipdf
    observability · identifiability · observables · observation space · realization theory
    Abstract

    This paper establishes the equality of the observation spaces defined by means of piecewise constant controls with those defined in terms of differentiable controls.

  2. ▪Y. Wang, E.D. Sontag, "A new result on the relation between differential-algebraic realizability and state space realizations", In Proc.\ Conf.\ Info.\ Sciences and Systems, Johns Hopkins University Press, 1989, pp. 143–147, 1989.
    observables · observation space · identifiability · observability · realization theory
1988
  1. ▪E.D. Sontag, "Bilinear realizability is equivalent to existence of a singular affine differential I/O equation", Systems Control Lett., vol. 11, no. 3, pp. 181–187, 1988. doipdf
    identification · identifiability · observability · observation space · real-analytic functions
    Abstract

    For continuous time analytic input/output maps, the existence of a singular differential equation relating derivatives of controls and outputs is shown to be equivalent to bilinear realizability. A similar result holds for the problem of immersion into bilinear systems. The proof is very analogous to that of the corresponding, and previously known, result for discrete time.