On zeros of multivariable systems
- 1 April 1975
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 21 (4) , 599-608
- https://doi.org/10.1080/00207177508922015
Abstract
In this paper some new results on zeros of multivariable systems described by the triple (F, G, H) are presented. The zeros are defined as the poles of a minimal order right or left inverse of the transfer function matrix of the system (F, G, H). A factorization procedure for the transfer function matrix is first described and this is then used to show that the zeros of the system (F, G, H) are the same as those of a lower-order system described by the 4-tuple (A, B, C, D). This result is then used to determine the zeros of the system (F, G, H). An example is given to illustrate the main results of the paper.Keywords
This publication has 4 references indexed in Scilit:
- Zeros and poles of matrix transfer functions and their dynamical interpretationIEEE Transactions on Circuits and Systems, 1974
- On determining the zeros of state-space systemsIEEE Transactions on Automatic Control, 1973
- Inversion of multivariable linear systemsIEEE Transactions on Automatic Control, 1969
- Invertibility of linear time-invariant dynamical systemsIEEE Transactions on Automatic Control, 1969