A connection between state-space and doubly coprime fractional representations Academic Article uri icon


  • Explicit formulas for a doubly coprime fractional representation of the transfer function of a lumped LTI system are given in terms of a stabilizable and detectable state-space realization of the transfer function. These formulas allow existing computational algorithms to be utilized for the purpose of computing doubly coprime factorizations. Several additional implications of this result are briefly discussed, as are some immediate extensions and future research directions.

published proceedings

  • IEEE Transactions on Automatic Control

altmetric score

  • 1

author list (cited authors)

  • Nett, C., Jacobson, C., & Balas, M.

citation count

  • 336

complete list of authors

  • Nett, C||Jacobson, C||Balas, M

publication date

  • September 1984