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    Approximation of Irrational Matrix Functions and Its Application to Continuous-Discrete Model Conversion

    Source: Journal of Dynamic Systems, Measurement, and Control:;1989:;volume( 111 ):;issue: 002::page 142
    Author:
    Muh-Yang Chen
    ,
    Chyi Hwang
    DOI: 10.1115/1.3153029
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, an improved method of rational approximation is presented for evaluating the irrational matrix function f(A ), where A is a square matrix and f(s) is a scalar irrational function which is analytic on the spectrum of A . The improvement in the accuracy of the approximation off (A ) by a rational matrix function is achieved by using the multipoint Pade approximants to f(s). An application example to model conversion involving the evaluations of the matrix exponential exp (A T) and the matrix logarithm ln(F ) is provided to illustrate the superiority of the method.
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      Approximation of Irrational Matrix Functions and Its Application to Continuous-Discrete Model Conversion

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    http://yetl.yabesh.ir/yetl1/handle/yetl/105164
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorMuh-Yang Chen
    contributor authorChyi Hwang
    date accessioned2017-05-08T23:29:33Z
    date available2017-05-08T23:29:33Z
    date copyrightJune, 1989
    date issued1989
    identifier issn0022-0434
    identifier otherJDSMAA-26111#142_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/105164
    description abstractIn this paper, an improved method of rational approximation is presented for evaluating the irrational matrix function f(A ), where A is a square matrix and f(s) is a scalar irrational function which is analytic on the spectrum of A . The improvement in the accuracy of the approximation off (A ) by a rational matrix function is achieved by using the multipoint Pade approximants to f(s). An application example to model conversion involving the evaluations of the matrix exponential exp (A T) and the matrix logarithm ln(F ) is provided to illustrate the superiority of the method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApproximation of Irrational Matrix Functions and Its Application to Continuous-Discrete Model Conversion
    typeJournal Paper
    journal volume111
    journal issue2
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.3153029
    journal fristpage142
    journal lastpage145
    identifier eissn1528-9028
    treeJournal of Dynamic Systems, Measurement, and Control:;1989:;volume( 111 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian