Advertisement

Results in Mathematics

, Volume 28, Issue 3–4, pp 195–208 | Cite as

Der Systembegriff der Kontrolltheorie und Regel-Relative

  • Hans-Joachim Arnold
Article
  • 10 Downloads

Abstract

To characterize E. D. Sontag’s system of axioms for control-systems in a more operative manner we consider an equivalent algebraic structure, which we name Regel- Relative.

AMS Subject Classification

93A05 B25 B27 

Keywords

algebraization 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  1. [1]
    Arnold, H.-J.: Eine relationentheoretische Algebraisierung angeordneter affiner und projektiver Geometrien, Abhandlung aus dem Mathematischen Seminar der Universität Hamburg, Band 45, S. 3–60, 1976zbMATHCrossRefGoogle Scholar
  2. [2]
    Arnold, H.-J.: Affine Relative, Results in Mathematics Volume 12, 1987Google Scholar
  3. [3]
    Sontag, E. D.: Mathematical Control Theory: Deterministic Finite Dimensional Systems, New York, 1990Google Scholar
  4. [4]
    Kalman, R. E., P. L. Falb und M. A. Arbib: Topics in mathematical system theory, New York, 1969Google Scholar

Copyright information

© Birkhäuser Verlag, Basel 1995

Authors and Affiliations

  • Hans-Joachim Arnold
    • 1
  1. 1.Gerhard-Mercator-Universität DuisburgDuisburgGermany

Personalised recommendations