Grigoris I. Kalogeropoulos, Athanasios D. Karageorgos,
Athanasios A. Pantelous
Abstract:
In this article, we study a class of linear rectangular matrix descriptor
differential equations of higher-order whose coefficients are square
constant matrices. Using the Weierstrass canonical form,
the analytical formulas for the solution of this general class is
analytically derived, for consistent and non-consistent initial
conditions.
Submitted November 4, 2008. Published February 3, 2009.
Math Subject Classifications: 34A30, 34A05, 93C05, 15A21, 15A22.
Key Words: Matrix pencil theory; Weierstrass canonical form;
linear matrix regular descriptor differential equations
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Grigoris I. Kalogeropoulos Department of Mathematics, University of Athens, Athens, Greece email: gkaloger@math.uoa.gr |
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Athanasios D. Karageorgos Department of Mathematics, University of Athens, Athens, Greece email: athkar@math.uoa.gr |
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Athanasios A. Pantelous School of Engineering and Mathematical Sciences, City University Northampton Square, London, EC1V 0HB, UK email: Athanasios.Pantelous.1@city.ac.uk |
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