Computation of structural invariants of generalized state space systems

Misra, Pradeep;Van Dooren, Paul;Varga, Andras
(1994) Automatica — Vol. 30, n° 12, p. 1921-1936 (1994)

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  • Misra, PradeepWright State Univ
    Author
  • Van Dooren, PaulUCLouvain
    Author
  • Varga, AndrasDLR
    Author
Abstract
In this paper, we develop an algorithm for computing the zeros of a generalized state-space model described by the matrix 5-tuple (E,A, B, C, D), where E may be a singular matrix but det (A - hE) ¢- 0. The characterization of these zeros is based on the system matrix of the corresponding 5-tuple, Both the characterization and the computational algorithm are extensions of equivalent results for state-space models described by the 4-tuples (A,B, C,D). We also extend these results to the computation of infinite zeros, and left and right minimal indices of the system matrix. Several non-trivial numerical examples are included to illustrate the proposed results.
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Misra, P., Van Dooren, P., & Varga, A. (1994). Computation of structural invariants of generalized state space systems. Automatica, 30(12), 1921-1936. https://hdl.handle.net/2078.5/51368 (Original work published 1994)