Polynomial matrices and feedback
Open Access
- 1 October 1985
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 30 (10) , 1022-1025
- https://doi.org/10.1109/tac.1985.1103829
Abstract
For a polynomial matrix having full row rank for all values of the parameter (number of rows less than number of columns), a number of extra rows is constructed such that the completed square polynomial matrix is unimodular. This construction is performed in a numerically reliable way using a deadbeat control algorithm for a generalized state-space system which, in turn, represents the given polynomial matrix.Keywords
This publication has 4 references indexed in Scilit:
- A collection of numerically reliable algorithms for the deadbeat control problemSystems & Control Letters, 1984
- The eigenstructure of an arbitrary polynomial matrix: computational aspectsLinear Algebra and its Applications, 1983
- The computation of Kronecker's canonical form of a singular pencilLinear Algebra and its Applications, 1979
- Some relations satisfied by prime polynomial matrices and their role in linear multivariable system theoryIEEE Transactions on Automatic Control, 1979