Controlled and conditioned invariant subspaces in linear system theory

  • G. Basile
  • G. Marro
Contributed Papers

DOI: 10.1007/BF00931370

Cite this article as:
Basile, G. & Marro, G. J Optim Theory Appl (1969) 3: 306. doi:10.1007/BF00931370


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.

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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