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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This research was supported in part by US Army Research Grant DA-ARO-D-31-124-72-G114 and by US Air Force Grant 72-2268 through the Center for Mathematical System Theory, University of Florida, Gainesville, FL 32611, USA.
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Sontag, E.D. On linear systems and noncommutative rings. Math. Systems Theory 9, 327–344 (1975). https://doi.org/10.1007/BF01715359
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DOI: https://doi.org/10.1007/BF01715359