Linear Matrix Differential Equations

2021 ◽  
pp. 347-376
Author(s):  
J. Vasundhara Devi ◽  
Sadashiv G. Deo ◽  
Ramakrishna Khandeparkar
Keyword(s):  
Differential Equations ◽  
Linear Matrix ◽  
Matrix Differential Equations ◽  
Matrix Differential

scholarly journals Solutions of Higher-Order Homogeneous Linear Matrix Differential Equations for Consistent and Non-Consistent Initial Conditions: Regular Case

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Ioannis K. Dassios
Keyword(s):  
Differential Equations ◽  
Initial Conditions ◽  
Matrix Pencil ◽  
Higher Order ◽  
Linear Matrix ◽  
Regular Case ◽  
Numerical Examples ◽  
Matrix Differential Equations ◽  
Matrix Differential ◽  
Homogeneous Linear

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.

scholarly journals Dynamic solutions of linear matrix differential equations

1990 ◽  
Vol 48 (1) ◽  
pp. 169-179 ◽  
Author(s):  
Julio Cesar Ruiz-Claeyssen ◽  
Teresa Tsukazan
Keyword(s):  
Differential Equations ◽  
Linear Matrix ◽  
Matrix Differential Equations ◽  
Matrix Differential
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