Coprime factorizations

Mi Ching Tsai, Da Wei Gu

Research output: Chapter in Book/Report/Conference proceedingChapter


Coprime factorization originates from algebra studied by French mathematician E. Bezout [1]. In recent years, it has been used to describe dynamic systems [6]. Coprime factorization can be applied in controller synthesis for a given dynamic system with uncertainties [7, 8]. The factorizations can be further employed to construct the set of all stabilizing controllers for the system and to represent a simple parameterization of all stabilized closed-loop transfer functions. In addition, the normalized coprime factorization which will be introduced in this chapter has a strong link to the H loop-shaping problem [4]. It is also relevant to the spectral factorizations and internal stability.

Original languageEnglish
Title of host publicationAdvances in Industrial Control
PublisherSpringer International Publishing
Number of pages26
Publication statusPublished - 2014 Jan 1

Publication series

NameAdvances in Industrial Control
ISSN (Print)1430-9491
ISSN (Electronic)2193-1577

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Industrial and Manufacturing Engineering


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