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Published **1989**
by National Aeronautics and Space Administration in [Washington, D.C .

Written in English

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

**Edition Notes**

Statement | Robert Grossman and Richard G. Larson. |

Series | [NASA contractor report] -- NASA-CR-185362., NASA contractor report -- NASA CR-185362. |

Contributions | Larson, Richard G., United States. National Aeronautics and Space Administration. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL18222774M |

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 .

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