On symmetric rational transfer functions
Reads0
Chats0
TLDR
In this article, a detailed study of symmetric transfer functions is presented, and a detailed analysis of transfer functions can be found in Section 5.1.1]...About:
This article is published in Linear Algebra and its Applications.The article was published on 1983-04-01 and is currently open access. It has received 87 citations till now.read more
Citations
More filters
Journal ArticleDOI
Canonical realizations by factorization of constant matrices
TL;DR: A unifying point of view on some classical canonical forms for linear systems is presented, based on which a state variable for a LTI system can be computed factorizing a two-variable polynomial matrix computed directly from the system equations.
Journal ArticleDOI
On structured singular values of reciprocal matrices
Shigeru Yamamoto,Hidenori Kimura +1 more
TL;DR: In this paper, it was shown that the structured singular value is identical to the maximum singular value for an important class of matrices called reciprocal, which reflects the intrinsic symmetry of physical world.
Journal ArticleDOI
Autonomous subbehaviours and output nulling subspaces
TL;DR: In this article, the authors point out connections between geometric control theory and the theory of behaviours and apply this analysis to the study and the polynomial characterization of output nulling subspaces and the natural, feedback induced, -module structures in these spaces.
Journal ArticleDOI
Bezoutians of polynomial matrices and their generalized inverses
TL;DR: In this paper, the Bezoutian B of a quadruple of polynomial matrices is studied and it is shown that under certain coprimeness conditions there is a {1}-or a { 1,2}-inverse of B which is a block Hankel matrix.
Journal ArticleDOI
On Duality in Some Problems of Geometric Control
TL;DR: In this article, the analysis of duality theory in the functional, or module theoretic, approach to geometric control is presented, where the authors focus on the characterization of controlled and conditioned invariant subspaces related by duality.
References
More filters
Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.