Metadata language
L2-optimal routh-type model reduction
Subtitle:Raport Badawczy = Research Report ; RB/30/2015
Creator:Krajewski, Wiesław (informatyka) ; Viaro, Umberto
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:21 stron ; 21 cm ; Bibliografia s. 14, 16-21
Subject and Keywords:Model reduction ; Redukcja modelu ; L2 norm ; Norma l2 ; Routh approximation ; Przybliżenie routha ; Impulse-response energy ; Asymptotic response ; Odpowiedź asymptotyczna ; Energia odpowiedzi impulsowej
Abstract:In this paper, a computationally simple method for generating reduced-order models that minimise the L2 norm of the approximation error while retaining a number of second-order information indices ( energies of the resolvent kernel) is presented. The method exploits the energy retention property peculiar to the Routh reduction method as well as the interpolation property of L2- optimal approximations. The method can be adapted to the case in which the steady-state response to step inputs must also be preserved. Two examples taken from the relevant literature show that the suggested techniques may lead to approximations that are not worse than those afforded by alternative techniques.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
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Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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