Linear relations and the Kronecker canonical form
نویسندگان
چکیده
منابع مشابه
PLACING ZEROES and the KRONECKER CANONICAL FORM
Given a linear time-invariant control system, it is well known that the transmission zeroes are the generalized eigenvalues of a matrix pencil. Adding outputs to place additional zeroes is equivalent to appending rows to this pencil to place new generalized eigenvalues. Adding inputs is likewise equivalent to appending columns. Since both problems are dual to each other, we only show in this pa...
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The understanding of which Kronecker structures that are close to a given structure is revealed by the Kronecker structure hierarchy, i.e., the strati cation of the Kronecker canonical form. For a given matrix pencil A B, the Kronecker structure hierarchy shows all structures that are within the closure of orbit(A B), and each structure, whose orbit's closure contains A B. In order to gain new ...
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Dynamical systems, such as electric circuits, mechanical systems, and chemical plants, can be modeled by mixed matrix pencils, i.e., matrix pencils having two kinds of nonzero coefficients: fixed constants that account for conservation laws and independent parameters that represent physical characteristics. Based on dimension analysis of dynamical systems, Murota (1985) introduced a physically ...
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This paper establishes a straightforward interconnection between the Kronecker canonical form and the special coordinate basis of linear systems. Such an interconnection yields an alternative approach for computing the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the tra...
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| The paper gives a positive answer to an open problem-whether there exists some family of canonical forms that would include both the Generalized Reed-Muller Forms and the Kronecker Forms as its special cases. We call the new forms Generalized Kronecker Forms. We present also the corresponding decision diagrams. They can be used for representation of large functions and also for optimal synthe...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2016
ISSN: 0024-3795
DOI: 10.1016/j.laa.2015.09.033