Conditioned Invariant Subspaces and the Geometry of Nilpotent Matrices

  • Uwe Helmke
  • Jochen Trumpf
Part of the Lect. Notes Control book series (LNCIS, volume 321)


The focus of this work is on certain geometric aspects of the classification problems for invariant and conditioned invariant subspaces. In this paper, we make an attempt to illustrate the interplay between geometry and control, by focussing on the connections between partial state observers, spaces of invariant and conditioned invariant subspaces, and nilpotent matrices.


Vector Bundle Invariant Subspace Smooth Manifold Orbit Space Cotangent Bundle 
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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Authors and Affiliations

  • Uwe Helmke
    • 1
  • Jochen Trumpf
    • 2
  1. 1.Mathematisches InstitutUniversität WürzburgAm HublandGermany
  2. 2.Department of Information EngineeringThe Australian National UniversityCanberraAustralia

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