
Linear, discrete-time, time-invariant systems with inputs and state described on arbitrary vector spaces are considered. The classification of the set of attainable systems under the action of feedback group for vector spaces is provided. This classification is achieved through a result on the decomposition of linear systems introduced by the author in an earlier work.
Controllability, linear discrete-time systems, Geometric methods, feedback group, controllability, Discrete-time control/observation systems, geometric methods, discrete-time systems, systems in abstract spaces, decomposition of linear systems, Control/observation systems in abstract spaces
Controllability, linear discrete-time systems, Geometric methods, feedback group, controllability, Discrete-time control/observation systems, geometric methods, discrete-time systems, systems in abstract spaces, decomposition of linear systems, Control/observation systems in abstract spaces
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