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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