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Realization by inspection

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2 Author(s)
J. Rosenthal ; Dept. of Math., Notre Dame Univ., IN, USA ; J. M. Schumacher

We investigate which first-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 finding a complete set of basis vectors for the nullspace of a given constant matrix. Since no numerical computation is needed, the realization method in particular is suitable for situations in which some of the coefficients are symbolic rather than numerical

Published in:

IEEE Transactions on Automatic Control  (Volume:42 ,  Issue: 9 )