Abstract
Abstract A new reachability criterion is presented for linear time-invariant systems that refers to input-state transferences. The criterion is based on the evaluation of the rank of a matrix formed with the coefficients of the numerator terms of such transferences. The adopted approach and the simplicity of the proof make the suggested criterion very interesting from a didactic point of view. The application of the criterion presents also some advantages from a computational point of view, at least- in some interesting cases. A corresponding observability criterion can easily be derived by referring to state-output transferences.
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