RAPPORT Realization by inspection
نویسنده
چکیده
We investigate which rst-order representations can be obtained from high-order representations of linear systems`by inspection', that is just by rearrangement of the data. Under quite weak conditions it is possible to obtain minimal realizations in the so-called pencil form; under stronger conditions one can obtain minimal realizations in standard state space form by inspection. The development is based on a reformulation of the realization problem as a problem of nding a complete set of basis vectors for the nullspace of a given constant matrix. Since no numerical computation is needed, the realization method is in particular suitable for situations in which some of the coeecients are symbolic rather than numerical.
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