@ARTICLE{MR680321,
   AUTHOR       = {P.P. Khargonekar and E.D. Sontag},
   JOURNAL      = {IEEE Trans. Automat. Control},
   TITLE        = {On the relation between stable matrix fraction 
      factorizations and regulable realizations of linear systems over 
      rings},
   YEAR         = {1982},
   OPTMONTH     = {},
   OPTNOTE      = {},
   NUMBER       = {3},
   PAGES        = {627--638},
   VOLUME       = {27},
   KEYWORDS     = {systems over rings},
   PDF          = {../../FTPDIR/pk.pdf},
   ABSTRACT     = { Various types of transfer matrix factorizations are of 
      interest when designing regulators for generalized types of linear 
      systems (delay differential. 2-D, and families of systems). This 
      paper studies the existence of stable and of stable proper 
      factorizations, in the context of the thery of systems over rings. 
      Factorability is related to stabilizability and detectability 
      properties of realizations of the transfer matrix. The original 
      formulas for coprime factorizations (which are valid, in particular, 
      over the field of reals) were given in this paper. }
}

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