The realization of input-output maps using bialgebras
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The realization of input-output maps using bialgebras

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Published by National Aeronautics and Space Administration in [Washington, D.C .
Written in English

Subjects:

  • Algebra.,
  • Coefficients.,
  • Differential equations.,
  • Dynamical systems.,
  • Theorems.

Book details:

Edition Notes

StatementRobert Grossman and Richard G. Larson.
Series[NASA contractor report] -- NASA-CR-185362., NASA contractor report -- NASA CR-185362.
ContributionsLarson, Richard G., United States. National Aeronautics and Space Administration.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL18222774M

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The realization of input-output maps using bialgebras Robert Grossman∗ and Richard G. Larson† University of Illinois at Chicago February, This is a draft of a paper which later appeared in Forum Mathe-maticum, Volume 4, pp. , Abstract We use the theory of bialgebras to provide the algebraic back-ground for state space. The realization of input-output maps using bialgebras Article (PDF Available) in Forum Mathematicum 4(2) February with 20 Reads How we measure 'reads'. Get this from a library! The realization of input-output maps using bialgebras. [Robert Grossman; United States. National Aeronautics and Space Administration.]. The realization of input-output maps using bialgebras.

This book presents the theory of formal languages as a coherent theory and makes explicit its relationship to automata. The realization of input-output maps using bialgebras. Article.   We consider hybrid systems as networks consisting of continuous input-output systems and discrete input-output automata. Some of the outputs may be connected to some of the inputs; the others server as the inputs and outputs of the hybrid system. We define a class of regular flows for such systems and make some remarks about them. The realization of input-output maps using bialgebras Robert Grossman" and Richard G. Larson t University of Illinois at Chicago!:j --|, f _5 1 Introduction S In this paper, we use the theory of bialgebras to prove a state space realiza-tion theorem for input/output maps of dynamic_hi systems. This approach.   R. Grossman, “Using trees to compute approximate solutions of ordinary differential equations exactly,” Computer Algebra and Differential Equations, M. F. Singer, editor, Academic Press, New York, , in press. Google Scholar.

  This paper studies the input–output equivalent transformation (or Hambo transform) of linear time-invariant systems induced by generalized orthonormal. In , Wolfgang Rump showed that there exists a correspondence between left nilpotent right R-braces and pre-Lie algebras. This correspondence, established using a geometric approach related to flat affine manifolds and affine torsors, works locally. In this paper we explain Rump's correspondence using only algebraic formulae.   The realization of input-output maps using bialgebras JACOB, N.: Feller semigroups, Dirichlet forms, and pseudo differential numbers LEANDRE, R.: Developpement asymptotique de la densite d'une diffusion degeneree 45 LORIMER, J.W.: The classification of compact right chain rings MACPHERSON, D., WOODROW, R. Given a nonlinear realization of an input-output map, sufficient conditions are given for the existence of an equivalent bilinear realization for small t. It .