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State Nullification by Memoryless Output Feedback

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Abstract.

We examine linear single-input single-output finite-dimensional systems. It is shown that a continuous time controllable and observable system can be nullified utilizing periodic sampling of the output with time-varying linear feedback. Almost any sampling rate can be used. The result relies on a characterization of linear output feedback nullification of discrete time observable and controllable systems. An algorithm for the nullification and an estimate on the time in which the algorithm is concluded are provided.

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Authors and Affiliations

  1. Department of Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel

    Zvi Artstein

  2. Department of Computer Science and Applied Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel

    Gera Weiss

Authors
  1. Zvi Artstein
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  2. Gera Weiss
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Corresponding author

Correspondence to Zvi Artstein.

Additional information

Research supported by grants from the Israel Science Foundation and from the Information Society Technologies Programme of the European Commission.

(Incumbent of the Hettie H. Heineman Professorial Chair in Mathematics).

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Artstein, Z., Weiss, G. State Nullification by Memoryless Output Feedback. Math. Control Signals Systems 17, 38–56 (2005). https://doi.org/10.1007/s00498-004-0144-1

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  • DOI: https://doi.org/10.1007/s00498-004-0144-1

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