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Primeness of multivariate polynomial matrices. (English) Zbl 0866.93053

Summary: Different characterizations of primeness of polynomial matrices that are mutually equivalent in the one-dimensional case of univariate polynomials lead to various primeness concepts in the multivariate situation. Applied to systems theory, this fact gives rise to a more refined view to observability and controllability of multidimensional systems. Algorithms for testing primeness properties are given based on computer algebraic techniques.

MSC:

93C35 Multivariable systems, multidimensional control systems
93B05 Controllability
93C05 Linear systems in control theory
12D05 Polynomials in real and complex fields: factorization
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