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Validated numerical computation of the L-infinity norm for linear dynamical systems

Kanno M. and Smith M.C.

Journal of Symbolic Computation, Volume 41, Number 6, Pages 697-707, June 2006

Abstract

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

@Article{,: author = {Kanno M. and Smith M.C.},; journal = {Journal of Symbolic Computation},; title = {Validated numerical computation of the L-infinity norm for linear dynamical systems},; year = {2006},; month = {June},; number = {6},; pages = {697-707},; volume = {41}
}



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