Advertisement

Structure and Realization of Decomposable Biaffine Systems

  • S. Nonoyama
  • T. J. Tarn
Conference paper
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 162)

Abstract

Decomposition is one of the fundamental principles of the systems approach to the study of complex objects. Decomposition is performed in order to replace the task of solving a complex problem of system analysis or design by the successive solution of simpler problems. It is also of practical importance to know whether or not it is possible to have a set of inputs controls a set of outputs independently in complex systems.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Tarn, T. J. and Nonoyama, S., “An Algebraic Structure of Discrete-Time Biaffine Systems,” Submitted for publication.Google Scholar
  2. 2.
    Arbib, M. A. and Zeiger, H. P., “On the Relevance of Abstract Algebra to Control Theory,” Automatica, Vol. 5, 1969, pp. 589–606.CrossRefGoogle Scholar
  3. 3.
    Isidori, A., “Direct Construction of Minimal Bilinear Realizations from Nonlinear Input-Output Maps,” IEEE Trans, on Automatic Control, Vol. AC18, No. 6, December 1973, pp. 626-631.Google Scholar
  4. 4.
    Fliess, M., “Matrices de Hankel,” J. Math. Pures Appl., Vol. 53, 1974, pp. 197–222.Google Scholar
  5. 5.
    Fliess, M., “Un Codage Non Commutatif Pour Certains Systèmes Échantillonnés Non Linéaires,” To appear in Information and Control, 1978.Google Scholar
  6. 6.
    Sontag, E. D., “On the Realization Theory of Polynomial Input-Output Maps,” Ph.D. Thesis, University of Florida, Gainesville, Florida, 1976.Google Scholar
  7. 7.
    Roth, W. E., “On Direct Product Matrices,” Bull. Amer. Math. Soc. 40, 1934, pp. 461–468.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • S. Nonoyama
    • 1
  • T. J. Tarn
    • 1
  1. 1.Department of Systems Science and MathematicsWashington UniversitySt. LouisUSA

Personalised recommendations