Cascade decompositions of rational matrix functions and their stability
- 1 August 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 46 (2) , 603-629
- https://doi.org/10.1080/00207178708933918
Abstract
The paper provides a geometrical characterization for the minimal general cascade decomposition of a d-regular rational matrix function defined on a sum of finite-dimensional spaces. It also contains a necessary and sufficient condition for the stability of such a decomposition, These results, when applied to the case of the linear fractional decompositions of a matrix-valued function lead to a new treatment of the corresponding problems discussed by Helton and Ball (1982) and Gohberg and Rubinstein (1986).Keywords
This publication has 3 references indexed in Scilit:
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- Minimal Factorization of Matrix and Operator FunctionsPublished by Springer Nature ,1979
- On a Certain Linear Fractional TransformationJournal of Mathematics and Physics, 1960