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Problems and Results in a Geometric Approach to the Theory of Systems over Rings

  • G. Conte
  • A. M. Perdon
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 62)

Abstract

The use of geometric methods in the study of linear systems with coefficients in a ring presents several difficulties, but, as in the case of coefficients in a field, it appears capable of providing efficient solutions to a number of control and observation problems. In this paper we survey some recent results concerning a class of Disturbance Decoupling Problems and we extend the techniques developed in that case to a class of problems concerning the Estimation of Linear Functions of the State.

Keywords

Invariant Subspace Geometric Approach Solvability Condition Linear System Theory Principal Ideal Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1994

Authors and Affiliations

  • G. Conte
    • 1
  • A. M. Perdon
    • 2
  1. 1.Dipartimento di Elettronica e AutomaticaUniversità di AnconaItaly
  2. 2.Dipartimento di MatematicaUniversità di AnconaItaly

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