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Stability-preserving rational approximation subject to interpolation constraintsPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2008 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 53, no 7, p. 1724-1730Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2008. Vol. 53, no 7, p. 1724-1730
##### Keyword [en]

interpolation, model reduction, quasi-convex optimization, rational, approximation, stability, nevanlinna-pick interpolation, model-reduction, infinity, systems
##### National Category

Computational Mathematics
##### Identifiers

URN: urn:nbn:se:kth:diva-17829DOI: 10.1109/tac.2008.929384ISI: 000259263900018Scopus ID: 2-s2.0-52249086276OAI: oai:DiVA.org:kth-17829DiVA, id: diva2:335874
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt467",{id:"formSmash:j_idt467",widgetVar:"widget_formSmash_j_idt467",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt473",{id:"formSmash:j_idt473",widgetVar:"widget_formSmash_j_idt473",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt479",{id:"formSmash:j_idt479",widgetVar:"widget_formSmash_j_idt479",multiple:true});
##### Note

QC 20100525 QC 20120118Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved
##### In thesis

A quite comprehensive theory of analytic interpolation with degree constraint, dealing with rational analytic interpolants with an a priori bound, has been developed in recent years. In this paper, we consider the limit case when this bound is removed, and only stable interpolants with a prescribed maximum degree are sought. This leads to weighted H-2 minimization, where the interpolants are parameterized by the weights. The inverse problem of determining the weight given a desired interpolant profile is considered, and a rational approximation procedure based on the theory is proposed. This provides a tool for tuning the solution to specifications. The basic idea could also be applied to the case with bounded analytic interpolants.

1. Inverse Problems in Analytic Interpolation for Robust Control and Spectral Estimation$(function(){PrimeFaces.cw("OverlayPanel","overlay37749",{id:"formSmash:j_idt787:0:j_idt791",widgetVar:"overlay37749",target:"formSmash:j_idt787:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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