Validated numerical computation of the L_∞-norm for linear dynamical systems

DOI 7 Citations Open Access

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  • Validated numerical computation of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="script">L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math>-norm for linear dynamical systems

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AbstractThis paper develops a validated numerical algorithm to compute the L∞-norm, a norm which plays an important role in modern control. The method reduces the L∞-norm computation problem to real root localization of polynomials and some Sturm chain tests, both of which can be executed in a manner which guarantees accuracy. A computational complexity estimate is also given.

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Details 詳細情報について

  • CRID
    1573668923824367872
  • NII Article ID
    30023083789
  • DOI
    10.1016/j.jsc.2005.11.005
  • ISSN
    07477171
  • Data Source
    • CiNii Articles
    • OpenAIRE

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