Title :
A closed formula for the determination of the impulsive solutions of linear homogeneous matrix differential equations
Author_Institution :
Dept. of Math., Aristotelian Univ. of Thessaloniki, Greece
fDate :
11/1/1993 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
