On linear systems and noncommutative rings. Sontag, E. Math. Systems Theory, 9(4):327–344, 1975.
abstract   bibtex   
This paper studies some problems appearing in the extension of the theory of linear dynamical systems to the case in which parameters are taken from noncommutative rings. Purely algebraic statements of some of the problems are also obtained. Through systems defined by operator rings, the theory of linear systems over rings may be applied to other areas of automata and control theory; several such applications are outlined.
@ARTICLE{MR0452844,
   AUTHOR       = {E.D. Sontag},
   JOURNAL      = {Math. Systems Theory},
   TITLE        = {On linear systems and noncommutative rings},
   YEAR         = {1975},
   OPTMONTH     = {},
   OPTNOTE      = {},
   NUMBER       = {4},
   PAGES        = {327--344},
   VOLUME       = {9},
   KEYWORDS     = {systems over rings},
   PDF          = {../../FTPDIR/ls-ncr.pdf},
   ABSTRACT     = { This paper studies some problems appearing in the 
      extension of the theory of linear dynamical systems to the case in 
      which parameters are taken from noncommutative rings. Purely 
      algebraic statements of some of the problems are also obtained. 
      Through systems defined by operator rings, the theory of linear 
      systems over rings may be applied to other areas of automata and 
      control theory; several such applications are outlined. }
}

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