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Solutions of Higher-Order Homogeneous Linear Matrix Differential Equations for Consistent and Non-Consistent Initial Conditions : Regular Case
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study a class of linear matrix differential equations (regular case) of higher order whose coefficients are square constant matrices.
By using matrix pencil theory and the Weierstrass canonical form of the pencil we obtain formulas for the solutions and we show that the solution is unique for consistent initial conditions and infinite for nonconsistent initial conditions.
Moreover we provide some numerical examples.
These kinds of systems are inherent in many physical and engineering phenomena.
American Psychological Association (APA)
Dassios, Ioannis K.. 2011. Solutions of Higher-Order Homogeneous Linear Matrix Differential Equations for Consistent and Non-Consistent Initial Conditions : Regular Case. ISRN Mathematical Analysis،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-452634
Modern Language Association (MLA)
Dassios, Ioannis K.. Solutions of Higher-Order Homogeneous Linear Matrix Differential Equations for Consistent and Non-Consistent Initial Conditions : Regular Case. ISRN Mathematical Analysis No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-452634
American Medical Association (AMA)
Dassios, Ioannis K.. Solutions of Higher-Order Homogeneous Linear Matrix Differential Equations for Consistent and Non-Consistent Initial Conditions : Regular Case. ISRN Mathematical Analysis. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-452634
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452634