Research in Applied Mathematics Related to Mathematical System Theory.

Abstract

This report deals with research results obtained in the field of mathematical system theory. Special emphasis was given to the following areas: (1) Linear system theory over a field: parametrization of multi-input, multi-output systems and the geometric structure of classes of systems of constant dimension. (2) Linear systems over a ring: development of the theory for very general classes of rings. (3) Nonlinear system theory: basic properties of polynomial (discrete-time) systems and their realization theory. The present report is only a brief summary of findings, which are far too technical to be explained in a few pages. The results are being gradually published in the open literature. For details, refer to previous proposals and/or to the publications listed in the references.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA043373

Entities

People

  • R. E. Kalman

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computers
  • Equations
  • Insensitive Explosives
  • Linear Systems
  • Mathematics
  • Nonlinear Systems
  • Polynomials
  • Students
  • Universities

Readers

  • Control Systems Engineering.
  • Technical Research and Report Writing.