On structural invariants and the root-loci of linear multivariable systems
- 1 August 1978
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 28 (2) , 187-196
- https://doi.org/10.1080/00207177808922448
Abstract
The geometric nature of the infinite zeros of the root-loci of linear multivariate systems is investigated using the canonical form derived by Morse (1973). It is shown that an invertible system S(A, B, C) has integer-order infinite zeros in the generic case equal to the controllability indices of a pair (A + KC, B), that suitable choice of proportional output feedback guarantees the absence of other than integer-order zeros and that the orders and asymptotic directions of the infinite zeros are independent of constant state feedback and output injection.Keywords
This publication has 3 references indexed in Scilit:
- Asymptotic behaviour of root-loci of linear multivariable systemsInternational Journal of Control, 1976
- Root-loci concepts for kth-order-type multivariable structuresProceedings of the Institution of Electrical Engineers, 1976
- Structural Invariants of Linear Multivariable SystemsSIAM Journal on Control, 1973