Realization by inspection
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 is in particular suitable for situations in which some of the coefficients are symbolic rather than numerical.
|Minimal systems representations (msc 93B20), Canonical structure (msc 93B10), Linear systems (msc 93C05)|
|Department of Operations Research, Statistics, and System Theory [BS]|
Rosenthal, J, & Schumacher, J.M. (1995). Realization by inspection. Department of Operations Research, Statistics, and System Theory [BS]. CWI.