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    On the Time-Weighted Quadratic Sum of Linear Discrete Systems

    Source: Journal of Dynamic Systems, Measurement, and Control:;1975:;volume( 097 ):;issue: 004::page 441
    Author:
    E. I. Jury
    ,
    S. Gutman
    DOI: 10.1115/1.3426962
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper the weighted quadratic sum J = k=0∞ xk1 Qk xk of a stable linear discrete system xk+1 = Axk is discussed. The formula of J is obtained from matrix z-transform formulation. Alternatively, it is shown that the weighted sum index J can be calculated recursively from a matrix equation. Finally, a combinatorial rule is obtained for calculating this matrix equation.
    keyword(s): Discrete systems , Equations AND Formulas ,
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      On the Time-Weighted Quadratic Sum of Linear Discrete Systems

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    https://yetl.yabesh.ir/yetl1/handle/yetl/87249
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorE. I. Jury
    contributor authorS. Gutman
    date accessioned2017-05-08T22:58:11Z
    date available2017-05-08T22:58:11Z
    date copyrightDecember, 1975
    date issued1975
    identifier issn0022-0434
    identifier otherJDSMAA-26032#441_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/87249
    description abstractIn this paper the weighted quadratic sum J = k=0∞ xk1 Qk xk of a stable linear discrete system xk+1 = Axk is discussed. The formula of J is obtained from matrix z-transform formulation. Alternatively, it is shown that the weighted sum index J can be calculated recursively from a matrix equation. Finally, a combinatorial rule is obtained for calculating this matrix equation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Time-Weighted Quadratic Sum of Linear Discrete Systems
    typeJournal Paper
    journal volume97
    journal issue4
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.3426962
    journal fristpage441
    journal lastpage444
    identifier eissn1528-9028
    keywordsDiscrete systems
    keywordsEquations AND Formulas
    treeJournal of Dynamic Systems, Measurement, and Control:;1975:;volume( 097 ):;issue: 004
    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
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