Title :
A QR decomposition based algorithm for computing transfer functions from state equations
Author :
Qiao, S. ; Chen, R.M.M. ; Jia, X.D.
Author_Institution :
Dept. of Comput. Sci. & Syst., McMaster Univ., Hamilton, Ont., Canada
Abstract :
This paper presents the derivation of a new algorithm for computing transfer functions from state equations with emphasis on the transfer zeros. This algorithm employs the QR decomposition to transform the original state equation to a reduced inverse system of minimum order; therefore it is computationally efficient and numerically stable. Three numerical examples are given to show the procedure and its computational advantages
Keywords :
poles and zeros; state-space methods; time-domain analysis; transfer functions; QR decomposition based algorithm; reduced inverse system; state equations; time-domain analysis; transfer functions; transfer zeros; Circuit analysis; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Matrix decomposition; Poles and zeros; Time domain analysis; Transfer functions; Transforms; Vectors;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621882
