Validated numerical computation of the -norm for linear dynamical systems

• Autores: Masaaki Kanno, Malcolm C. Smith
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 41, Nº 6, 2006, págs. 697-707
• Idioma: inglés
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• Resumen

  • This paper develops a validated numerical algorithm to compute the -norm, a norm which plays an important role in modern control. The method reduces the -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.