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Nonstationary Systems and Point Evaluation

  • C. Foias
  • A. E. Frazho
  • I. Gohberg
  • M. A. Kaashoek
Part of the Operator Theory Advances and Applications book series (OT, volume 100)

Abstract

This chapter introduces discrete time-varying input output systems, and various notions connected with them. The chapter also serves as a further motivation for the interpolation problems considered in the previous chapter. Special attention is paid to the interpretation of the nonstationary version of point evaluation. It will also be shown how one may convert a time-varying system into an infinite dimensional time-invariant system, which gives a first insight into the reduction techniques that will be used later. Finally, a nonstationary version of the filtering problem is connected to a nonstationary Sarason problem.

Keywords

Point Evaluation Controllability Operator Toeplitz Operator Open Unit Disc Observability Operator 
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 Basel AG 1998

Authors and Affiliations

  • C. Foias
    • 1
  • A. E. Frazho
    • 2
  • I. Gohberg
    • 3
  • M. A. Kaashoek
    • 4
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of AeronauticsPurdue UniversityWest LafayetteUSA
  3. 3.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
  4. 4.Dept. of Mathematics and Computer ScienceVrije Universiteit AmsterdamAmsterdamThe Netherlands

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