Mathematical systems theory

, Volume 14, Issue 1, pp 83–94 | Cite as

Abstract bilinear systems: The forward shift approach

  • Arthur E. Frazho
Article

Abstract

A bilinear realization theory for a Volterra series input-output map is given. The approach involves a special transform representation for a Volterra series and certain shift operators on a Fock space. The approach yields in a very simple manner a theory of span reachability, observability and minimality for bilinear systems.

Keywords

Computational Mathematic Realization Theory Shift Operator Simple Manner Bilinear System 

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Copyright information

© Springer-Verlag New York Inc 1981

Authors and Affiliations

  • Arthur E. Frazho
    • 1
  1. 1.School of Aeronautics and AstronauticsPurdue UniversityWest LafayetteUSA

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