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Resource type: article, chapter

Approximation of continuous-time linear systems using Markov parameters and energy indices (RB-1993-18)

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Title Approximation of continuous-time linear systems using Markov parameters and energy indices (RB-1993-18)
Persons Authors: Wiesław Henryk Krajewski
Cocreators: Antonio Lepschy (Other), Umberto Viaro (Other)
Partner: Systems Research Institute Polish Academy of Sciences, Warsaw
Description A continuous-time single-input single-output linear system of order q can uniquely be characterized by its first q Markov parameters and the energies of the impulse response and its first q-1 derivatives. The (linear) relations between these first- and second-order information indices and the coefficients of the related transfer function are given, which allows us to obtain reduced-order models that match a suitable number of such indices in an efficient way. Some properties of the reduced models are briefly illustrated and the critical cases are discussed. (English)
Keywords "linear continuous-time systems"@en, "energia odpowiedzi impulsowej"@pl, "reduced-order models"@en, "błąd równania"@pl, "Markov parameters"@en, "systemy liniowe z czasem ciągłym"@pl, "impulse-response energy"@en, "equation error"@en, "parametry Markowa"@pl, "modele uproszczone"@pl
Classification Resource type: article, chapter
Scientific discipline: Dziedzina nauk ścisłych i przyrodniczych / matematyka (2018)
Destination group: pupils, students, scientists
Harmful content: No
Characteristics Title of source document: RB-1993-18
Place of publication: Warszawa
Publisher: IBSPAN
Time of publication: 1993
From page: 1
To page: 12
Resource language: English
License CC BY-SA 4.0
Technical information Submitter: Anna Wasilewska
Availability date: 13-01-2023
Collections Kolekcja Instytutu Badań Systemowych PAN w Warszawie

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Wiesław Henryk Krajewski. Approximation of continuous-time linear systems using Markov parameters and energy indices (RB-1993-18). [article, chapter] Available in Atlas of Open Science Resources, . License: CC BY-SA 4.0, https://creativecommons.org/licenses/by-sa/4.0/legalcode.pl. Date of access: DD.MM.RRRR.

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