Validated numerical computation of the L_∞-norm for linear dynamical systems
Bibliographic Information
- Other Title
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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
Description
This 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.
Journal
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- Journal of Symbolic Computation
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Journal of Symbolic Computation 41 (6), 697-707, 2006
Elsevier BV
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Details 詳細情報について
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- CRID
- 1573668923824367872
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- NII Article ID
- 30023083789
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- ISSN
- 07477171
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- Data Source
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- CiNii Articles
- OpenAIRE