DocumentCode
991364
Title
Comments on the properties of the operational matrices of integration and differentiation for Fourier trigonometric functions
Author
Caiti, Andrea ; Cannata, Giorgio
Author_Institution
Dept. of Commun., Comput. & Syst. Sci., Genova Univ., Italy
Volume
38
Issue
4
fYear
1993
fDate
4/1/1993 12:00:00 AM
Firstpage
667
Lastpage
671
Abstract
The properties of the operational matrices of integration, P, and differentiation Q, are discussed for the case of Fourier trigonometric functions. In particular, a theorem that establishes the relationship between the matrices P/sup -1/ and Q is given, and the meaning of using P/sup -1/ instead of Q, recently proposed in literature, is clarified.<>
Keywords
Fourier analysis; control system analysis; differentiation; integration; matrix algebra; Fourier trigonometric functions; differentiation; integration; operational matrices; Automatic control; Automation; Communication system control; Control system analysis; Control systems; Convergence; Councils; Differential algebraic equations; Hilbert space; Optimal control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.250546
Filename
250546
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