Controlled and conditioned invariant subspaces in linear system theory

  • G. Basile
  • G. Marro
Contributed Papers
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Abstract

The concept of invariance of a subspace under a linear transformation is strongly connected with controllability and observability of linear dynamical systems. In this paper, we definecontrolled andconditioned invariant subspaces as a generalization of the simple invariants, for the purpose of investigating some further structural properties of linear systems. Moreover, we prove some fundamental theorems on which the computation of the above-mentioned subspaces is based. Then, we give two examples of practical application of the previous concepts concerning the determination of the constant output and perfect output controllability subspaces.

Keywords

Dynamical System Linear System Structural Property System Theory Linear Transformation 
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Copyright information

© Plenum Publishing Corporation 1969

Authors and Affiliations

  • G. Basile
    • 1
  • G. Marro
    • 2
  1. 1.Institute of ElectrotechnicsUniversity of BariBariItaly
  2. 2.Computing and Servomechanism CenterUniversity of BolognaBolognaItaly

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