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On Hautus-type conditions for controllability of implicit linear discrete-time systems

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Abstract

Four notions of controllability for general (i.e., possibly nonregular) implicit linear discrete-time systems are considered. Relationships between them are studied. A Hautus-type characterization of all of these notions is also given.

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Authors and Affiliations

  1. Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, 00-662, Warszawa, Poland

    A. Banaszuk & M. Kociecki

  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 137, 00-950, Warszawa, Poland

    K. M. Przyłuski

Authors
  1. A. Banaszuk
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  2. M. Kociecki
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  3. K. M. Przyłuski
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Additional information

This work was performed under the auspices of RP.I.02: “Teoria sterowania i optymalizacji ciagłych układów dynamicznych i procesów dyskretnych.”

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Banaszuk, A., Kociecki, M. & Przyłuski, K.M. On Hautus-type conditions for controllability of implicit linear discrete-time systems. Circuits Systems and Signal Process 8, 289–298 (1989). https://doi.org/10.1007/BF01598416

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  • DOI: https://doi.org/10.1007/BF01598416

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