Title :
Infinite series for logarithm of matrix, applied to identification of linear continuous-time multivariable systems from discrete-time models
Author :
Lastman, G.J. ; Sinha, N.K.
Author_Institution :
Dept. of Appl. Math., Waterloo Univ., Ont., Canada
Abstract :
The convergence of a previously used series for the logarithm of a matrix is examined. A new series, with better convergence properties, is given for the computation of the logarithm of a matrix. A numerical example illustrates the properties of the two series.
Keywords :
convergence; identification; linear systems; matrix algebra; multivariable systems; series (mathematics); continuous-time multivariable systems; convergence; discrete-time models; identification; infinite series; matrix logarithm;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19910919