OPERATIONAL MATRICES OF INTEGRATION AND DIFFERENTIATION FOR THE FOURIER SINE-COSINE AND EXPONENTIAL SERIES.

Paraskevopoulos, PN

dc.contributor.author	Paraskevopoulos, PN	en
dc.date.accessioned	2014-03-01T01:07:00Z
dc.date.available	2014-03-01T01:07:00Z
dc.date.issued	1987	en
dc.identifier.issn	0018-9286	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9739
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	CONTROL SYSTEMS - Theory	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Vectors	en
dc.subject.other	BASIS VECTOR	en
dc.subject.other	FOURIER EXPONENTIAL SERIES	en
dc.subject.other	FOURIER SINE-COSINE SERIES	en
dc.subject.other	LINEAR NONSINGULAR TRANSFORMATION	en
dc.subject.other	OPERATIONAL MATRICES	en
dc.subject.other	MATHEMATICAL TRANSFORMATIONS	en
dc.title	OPERATIONAL MATRICES OF INTEGRATION AND DIFFERENTIATION FOR THE FOURIER SINE-COSINE AND EXPONENTIAL SERIES.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAC.1987.1104663	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAC.1987.1104663	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	For the Fourier sine-cosine series basis vector phi (t) and the Fourier exponential series basis vector psi (t), a linear nonsingular tranformation T is determined such that psi (t) equals T phi (t). This result is then used to show that the operational matrices of integration P and Q for phi (t) and psi (t), respectively, are related by the expression TP equals QT. Analogous results are derived for the corresponding operational matrices of differentiation D and R. General expressions are derived for T, P, Q, D, and R.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Automatic Control	en
dc.identifier.doi	10.1109/TAC.1987.1104663	en
dc.identifier.isi	ISI:A1987H795200019	en
dc.identifier.volume	AC-32	en
dc.identifier.issue	7	en
dc.identifier.spage	648	en
dc.identifier.epage	651	en