Coprime Representations and Feedback Stabilization of Discrete Timevarying Linear Systems

  • Liu LiuEmail author
  • Yufeng Lu
Regular Papers Control Theory and Applications


Within the framework of nest algebra, this paper deals with the stabilization problems of causal, discrete time, time-varying linear systems based on the coprime representations. It is shown that a linear system is stabilizable if and only if it admits a left coprime representation or a right coprime representation. The parametrization of stabilizing controllers, strong stabilizability and simultaneous stabilizability criteria are characterized in terms of left coprime representations alone, or analogously right coprime representations alone.


Coprime representation nest algebra stabilization time-varying system 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mathematical SciencesDalian University of TechnologyDalianP. R. China

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