Computational Mathematics and Modeling

, Volume 24, Issue 2, pp 203–220 | Cite as

Design of minimal stabilizers for scalar systems

  • I. V. Kapalin
  • V. V. Fomichev

Minimal stabilization is considered for a scalar system. The minimal stabilization problem is shown to be equivalent to the problem of intersecting the space of stable polynomials with a linear manifold. It is proved that the linear manifold can be described by a linear system of algebraic equations with Hankel structure. The article provides examples of some applications of the minimal stabilizer search algorithm.


Transfer Function General Position Nontrivial Solution Scalar System Linear Manifold 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. K. Korovin, A. V. Il’in, I. S. Medvedev, and V. V. Fomichev, “On a theory of functional observers and stabilizers of given order,” Dokl. Akad. Nauk, Teoriya Upravl., 409, No. 5, 601–605 (2006).MathSciNetzbMATHGoogle Scholar
  2. 2.
    F. R. Gantmakher, Matrix Theory [in Russian], Fizmatlit, Moscow (2004).Google Scholar
  3. 3.
    P. Lancaster, The Theory of Matrices [Russian translation], Mir, Moscow (1982).Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • I. V. Kapalin
    • 1
  • V. V. Fomichev
    • 2
  1. 1.Institute for Systems AnalysisRussian Academy of SciencesMoscowRussia
  2. 2.Faculty of Computation Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia

Personalised recommendations