Properties of the system matrix of a generalized state-space system

Verghese, G.;Van Dooren, Paul;Kailath, T.
(1979) International Journal of Control — Vol. 30, n° 2, p. 235-243 (1979)

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  • Verghese, G.Stanford Univ
    Author
  • Van Dooren, PaulUCLouvain
    Author
  • Kailath, T.Stanford University
    Author
Abstract
In this short paper we show a number of properties of generalized state-space systems {sE-A,B,C,D} which can be constructed for any rational matrix R(s). The Kronecker structure of such systems is proven to yield information about the pole-zero structure (finite and infinite) and about the null space structure of R(s).
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Verghese, G., Van Dooren, P., & Kailath, T. (1979). Properties of the system matrix of a generalized state-space system. International Journal of Control, 30(2), 235-243. https://doi.org/10.1109/CDC.1978.267914 (Original work published 1979)