Right, left characteristic sequences and column, row minimal indices of a singular pencil
- 1 April 1988
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 47 (4) , 937-946
- https://doi.org/10.1080/00207178808906066
Abstract
For a general singular pencil sF — G∊ℝ m×n [s] the right, left characteristic sequences r(F, G), l(F, G) are defined and they are shown to be of the piecewise arithmetic progression type. The sets of column, row minimal indices ℐc(F, G), ℐr(F, G) are defined by a singular points analysis of r(F, G), ℐl(F, G) respectively. Thus, ℐc(F, G), ℐr(F, G) emerge as numerical invariants of the ordered pair (F, G) and they may be computed by rank tests on Toeplitz matrices defined on (F, G).Keywords
This publication has 2 references indexed in Scilit:
- On the Segré, Weyr characteristics of right (left) regular matrix pencilsInternational Journal of Control, 1986
- Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear SystemsSIAM Journal on Control, 1975