Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0733.41023
Glover, K.; Lam, J.; Partington, J.R.
Rational approximation of a class of infinite-dimensional systems. II: Optimnal convergence rates of $L\sb{\infty}$ approximants. (English)
[J] Math. Control Signals Syst. 4, No.3, 233-346 (1991). ISSN 0932-4194; ISSN 1435-568X/e

[For part I see ibid. 3, No.4, 325-344 (1990; Zbl 0727.41020).] \par This paper is an important contribution to the theory and applications of rational approximations of given degrees for irrational transfer type functions. The authors consider the problem of achievable errors in an especial type of infinity-norm approximation and establish the optimal rates of convergence using a combination of results concerning with Padé approximation and Hankel-norm approximation of nuclear systems. With this aim in view, they examine two numerical examples of the $L\sb{\infty}$ techniques on delay systems in the last section.
[V.Postolică (Piatra Neamt)]

MSC 2000:: *41A20 Approximation by rational functions
93B11 System structure simplification

Keywords: Hankel operators; optimal convergence rate; irrational transfer type functions; achievable errors; Padé approximation; Hankel-norm approximation of nuclear systems; numerical examples

Citations: Zbl 0727.41020

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]