Towards a system theory of rational systems

  • Jana NěmcováEmail author
  • Mihály Petreczky
  • Jan H. van Schuppen
Part of the Operator Theory: Advances and Applications book series (OT, volume 271)


In this paper the reader finds a description of current research in the system theory of rational systems. The research is motivated by the needs of researchers in the life sciences and in engineering for control, estimation, and prediction of rational systems. An overview of existing results is provided. Successively discussed are solved and open problems of: canonical forms for rational systems, the problem of decomposing a rational system, the system approximation problem, control synthesis of rational systems, and computer algebraic problems for rational systems. The discussions are illustrated by academic examples.


Rational systems system theory canonical forms decompositions system approximation computer algebra 

Mathematics Subject Classification (2010)

Primary 93B25 secondary 93B10 93B15 93B17 93C10 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Jana Němcová
    • 1
    Email author
  • Mihály Petreczky
    • 2
  • Jan H. van Schuppen
    • 3
  1. 1.Department of MathematicsUniversity of Chemistry and Technology Technická 5Prague 6Czech Republic
  2. 2.CRISTAL, UMR CNRS 9189, Ecole Centrale LilleVilleneuve d’AsqFrance
  3. 3.Van Schuppen Control ResearchGouden Leeuw 143The Netherlands

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