A special coordinate basis (SCB) of linear multivariable systems

  • Ali Saberi
  • Anton A. Stoorvogel
  • Peddapullaiah Sannuti
Part of the Systems & Control: Foundations & Applications book series (SCFA)


What is called the special coordinate basis (SCB) of a multivariable linear time-invariant system plays a dominant role throughout this book; hence, a clear understanding of it is essential. The purpose of this chapter is to recall the SCB as well as its properties pertinent to this book. The SCB originated in [ 138, 140, 141] and was crystallized for strictly proper systems in [139] and for proper systems in [132]. Our presentation of SCB here omits all the proofs that can be found in the literature.


Zero Dynamic Proper System Zero Structure Invariant Zero Proper Case 
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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Ali Saberi
    • 1
  • Anton A. Stoorvogel
    • 2
  • Peddapullaiah Sannuti
    • 3
  1. 1.School of Electrical Engineering and Computer ScienceWashington State UniversityPullmanUSA
  2. 2.Department of Electrical Engineering, Mathematics, and Computer ScienceUniversity of TwenteEnschedeThe Netherlands
  3. 3.Department of Electrical and Computer EngineeringRutgers UniversityPiscatawayUSA

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