DocumentCode :
1406078
Title :
Calculation of Quadratic Moments of High-Order Linear Systems via Routh Canonical Transformation
Author :
Puri, N.N. ; Weygandt, C.N.
Author_Institution :
Missile and Space Division of the General Electric Company, Philadelphia, Pa.
Volume :
83
Issue :
75
fYear :
1964
Firstpage :
428
Lastpage :
433
Abstract :
In this paper, three different methods are developed for calculating various moments of the system variables of a linear system, represented by matrix equation x = Ax. A transformation Q is developed which transforms the system matrix A into a special matrix R. Liapunov function V is considered as V = xtQtQx and it facilitates evaluation of various moments ¿0¿ tmx2dt These methods are especially useful for high-order systems. Examples are included to explain each method.
Keywords :
Control systems; Differential equations; Eigenvalues and eigenfunctions; Error correction; Feedback control; Linear systems; Performance evaluation; System performance; Tellurium; Transforms;
fLanguage :
English
Journal_Title :
Applications and Industry, IEEE Transactions on
Publisher :
ieee
ISSN :
0536-1524
Type :
jour
DOI :
10.1109/TAI.1964.5407717
Filename :
5407717
Link To Document :
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