Title :
Software for closed-form solutions of linear time-invariant differential systems
Author :
Chinichiaan, Mojtabaa ; Fulton, Charles T.
Author_Institution :
Florida Inst. of Technol., Melbourne, FL, USA
fDate :
5/1/1986 12:00:00 AM
Abstract :
Software that obtains the closed-form solution for first-order linear time-invariant systems with exponential and/or sinusoidal excitations is described. The approach is based on using EIGRF (an IMSL library subroutine, which uses the Q/R algorithm for an arbitrary real input matrix) for determining the eigenvalues and eigenvectors of the coefficient matrix. The closed-form solutions is then obtained by making use of the eigenvalues, the eigenvectors, and the input functions in the variation of parameters formula.
Keywords :
eigenvalues and eigenfunctions; linear differential equations; linear systems; matrix algebra; subroutines; Q/R algorithm; arbitrary real input matrix; closed-form solutions; coefficient matrix; differential systems; eigenvalues; eigenvectors; exponential excitations; parameter variation; sinusoidal excitations; time-invariant systems; Algorithms; Closed-form solutions; Eigenvalues and eigenfunctions; Equations; Libraries; Software; Vectors;
Journal_Title :
Circuits and Devices Magazine, IEEE
DOI :
10.1109/MCD.1986.6311823
