A smoothly parameterized family of stabilizable, observable linearsystems containing realizations of all transfer functions of McMillandegree not exceeding n |
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| Authors: | Pait F Morse AS |
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| Affiliation: | Dept. of Electr. Eng., Yale Univ., New Haven, CT ; |
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| Abstract: | It is shown that there is a continuously parameterized family F of n-dimensional single-input single-output (SISO) stabilizable detectable linear system Σ(p) which contains at least one realization of each reduced, strictly proper transfer function of McMillan degree not exceeding n. The parameterization map p→Σ(p) is a polynomial function in 2n indeterminates from an open convex polyhedron in R2n to the linear space of all SISO n-dimensional linear systems |
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