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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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