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A note on zeros, output-nulling subspaces and zero-dynamics in MIMO LTI systems

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In a standard multi-input, multi-output linear time invariant (MIMO LTI) continuous-time system S9A,B,C) the classical notion of the Smith zeros does not characterize fully the output-zeroing problem nor the zero dynamics. The question how this notion can be extended and related to the state-space methods is discussed. Nothing is assumed about the ralationship of the number of inputs to the number of outputs nor about the normal rank of the underlying system matrix. The proposed extension treats multivariable zeros as the triples. Such a treatment is strictly connected with the output zeroing problem and in that spirit the zeros can be easily interpreted even in the degenerate case.
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Bibliogr. poz. 23
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