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Coupled and constrained sylvester equations in system design

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Abstract

Several design problems, including reduced observer and compensator design, output feedback, and finite transmission zero assignment, are examined using the vehicle of the coupled Sylvester equations. The coupling is generally provided through a third equation involving the solutions of the two linear Sylvester equations, thus serving as a constraint on the allowed solutions. The Sylvester approach allows the unification of algebraic and geometric approaches, and provides numerical design algorithms through the tool of the Hessenberg form.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Hawaii at Manoa, 2540 Dole St., Holmes Hall, 96822, Honolulu, HI

    Vassilis L. Syrmos

  2. Automation and Robotics Research Institute, University of Texas at Arlington, 7300 Jack Newell Blvd. S., 76118, Ft. Worth, TX

    Frank L. Lewis

Authors
  1. Vassilis L. Syrmos
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  2. Frank L. Lewis
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Additional information

This research was supported by the National Science Foundation under Grant No. NCR-9210408 and by the University of Hawaii Research Council under Contract No. 93868F728B425.

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Syrmos, V.L., Lewis, F.L. Coupled and constrained sylvester equations in system design. Circuits Systems and Signal Process 13, 663–694 (1994). https://doi.org/10.1007/BF02523122

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  • DOI: https://doi.org/10.1007/BF02523122

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