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The Stable Rank of a Nest Algebra and Strong Stabilization of Linear Time-varying Systems

  • Avraham Feintuch
Chapter
  • 491 Downloads
Part of the Operator Theory: Advances and Applications book series (OT, volume 197)

Abstract

It is shown that the stable rank of a continuous time nest algebra is infinite. From this it follows that there exist stabilizable continuous time systems which are not strongly stabilizable.

Keywords

Time-varying linear systems coprime factorizations stabilization causality continuous nests stable rank 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • Avraham Feintuch
    • 1
  1. 1.Department of MathematicsBen Gurion University of the NegevBeer-ShevaIsrael

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