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Zeros in discrete-time MIMO LTI systems and the output-zeroing problem (Q2703061)

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scientific article
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Zeros in discrete-time MIMO LTI systems and the output-zeroing problem
scientific article

    Statements

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    4 November 2002
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    invariant zeros
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    output-zeroing problems
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    Smith invariant zero
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    Zeros in discrete-time MIMO LTI systems and the output-zeroing problem (English)
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    The author gives an interpretation of invariant zeros of multi input multi output linear time invariant systems, called geometric, considering them as a triple (complex number, state zero direction, input zero direction). The interpretation of zeros in the context of the ouput-zeroing problem is given, extending the notion of a Smith invariant zero. NEWLINENEWLINENEWLINENo comparison is made with the geometric and algebraic notions of invariant zeros such as the Zero-module and the maximum \((A,B)\)-invariant submodule in Ker \(C\), which are of interest in control theory.
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