DocumentCode
1025867
Title
A closed formula for the determination of the impulsive solutions of linear homogeneous matrix differential equations
Author
Fragulis, G.
Author_Institution
Dept. of Math., Aristotelian Univ. of Thessaloniki, Greece
Volume
38
Issue
11
fYear
1993
fDate
11/1/1993 12:00:00 AM
Firstpage
1688
Lastpage
1695
Abstract
A closed formula is given, which allows the determination of the impulsive solutions of linear homogeneous matrix differential equations (LHMDE) directly in terms of finite and infinite spectral data of the associated polynomial matrix. Specifically, the notions of finite and infinite Jordan pairs for a general polynomial matrix are defined and it is pointed out the strong relationship among them and the impulsive solutions of LHMDE
Keywords
differential equations; matrix algebra; polynomials; Jordan pairs; LHMDE; closed formula; finite spectral data; impulsive solutions; infinite spectral data; linear homogeneous matrix differential equations; polynomial matrix; Algorithm design and analysis; Computational modeling; Ellipsoids; Equations; Frequency domain analysis; Frequency estimation; Least squares methods; Parameter estimation; Uncertainty; Volume measurement;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.262041
Filename
262041
Link To Document