Title :
Eigenvalue-eigenvector sensitivity analysis of linear time-invariant singular systems
Author :
Paraskevopoulos, P.N. ; Christodoulou, M.A. ; Tsakiris, M.A.
Author_Institution :
Democritus University of Thrace, Xanthi, Greece
fDate :
4/1/1984 12:00:00 AM
Abstract :
This note refers to the eigenvalue-eigenvector sensitivity analysis of linear time-invariant multivariable singular systems. Procedures that can be easily programmed on a digital computer are presented for the determination of the deviation of the eigenvalues and the corresponding right and left eigenvectors which are caused by the system´s parameter changes about their nominal values. The method is illustrated by two examples.
Keywords :
Eigenvalues/eigenvectors; Sensitivity, linear systems; Singular systems; Artificial intelligence; Eigenvalues and eigenfunctions; Polynomials; Sensitivity analysis; Taylor series; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1984.1103530