IJPAM: Volume 53, No. 1 (2009)
ANALYTICAL AND NUMERICAL SOLUTIONS
Department of Mathematics
Texas A&M University-Commerce
Commerce, TX 75429, USA
Abstract.This paper considers the relationships between the general solution of the first-order matrix Sylvester ODE:
in terms of two fundamental matrix solutions of and , and the numerical solution of such equations which can be obtained using standard Matlab routines for the solution of vector ODE.
Theoretical results regarding the solution of a Sylvester control system
are used to compute the control signal , a particular solution, and the total controlled solution.
Received: March 30, 2009
AMS Subject Classification: 34H05, 93B05, 65L99
Key Words and Phrases: matrix differential equations, numerical solutions of ODE, fundamental matrix solutions
Source: International Journal of Pure and Applied Mathematics