A study of (A, B) invariant subspaces via polynomial models
- 1 March 1980
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 31 (3) , 467-494
- https://doi.org/10.1080/00207178008961055
Abstract
This paper describes an application of the theory of polynomial models to the study of some natural objects in geometric control theory. In particular, it utilizes the correspondence between factorization of polynomial matrices and invariant subspaces to obtain, by the use of Toeplitz operators, a polynomial characterization of (A, B) invariant subspaces as well as those included in her C. A geometric characterization of feedback irreducibility is rederived.Keywords
This publication has 7 references indexed in Scilit:
- Factorization indices at infinity for rational matrix functionsIntegral Equations and Operator Theory, 1979
- Linear Feedback—An Algebraic ApproachSIAM Journal on Control and Optimization, 1978
- Factorization indices for matrix polynomialsBulletin of the American Mathematical Society, 1978
- Algebraic system theory: an analyst's point of viewJournal of the Franklin Institute, 1976
- System Invariants under Feedback and Cascade ControlPublished by Springer Nature ,1976
- Linear Multivariable SystemsPublished by Springer Nature ,1974
- Linear Multivariable ControlPublished by Springer Nature ,1974