The Quasi-Kronecker Form For Matrix Pencils
نویسندگان
چکیده
منابع مشابه
The Quasi-Kronecker Form For Matrix Pencils
We study singular matrix pencils and show that the so called Wong sequences yield a quasi-Kronecker form. This form decouples the matrix pencil into an underdetermined part, a regular part and an overdetermined part. This decoupling is sufficient to fully characterize the solution behaviour of the differential-algebraic equations associated with the matrix pencil. Furthermore, the Kronecker can...
متن کاملAddition to "The Quasi-Kronecker Form for Matrix Pencils"
We refine a result concerning singular matrix pencils and the Wong sequences. In our recent paper [T. Berger and S. Trenn, SIAM J. Matrix Anal. Appl., 33 (2012), pp. 336–368] we have shown that the Wong sequences are sufficient to obtain a quasi-Kronecker form. However, we applied the Wong sequences again on the regular part to decouple the regular matrix pencil corresponding to the finite and ...
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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 ...
متن کاملThe Quasi-Weierstraß form for regular matrix pencils
Regular linear matrix pencils A − E∂ ∈ K[∂], where K = Q, R or C, and the associated differential algebraic equation (DAE) Eẋ = Ax are studied. The Wong sequences of subspaces are investigate and invoked to decompose the Kn into V⊕W, where any bases of the linear spaces V and W transform the matrix pencil into the Quasi-Weierstraß form. The Quasi-Weierstraß form of the matrix pencil decouples t...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS On Kronecker Canonical Form of Mixed Matrix Pencils
A mixed matrix pencil is a matrix pencil which has two kinds of nonzero coefficients: fixed constants that account for conservation laws and independent parameters that represent physical characteristics. In this paper, we characterize the indices of nilpotency of the Kronecker canonical form for a mixed matrix pencil in terms of matroids. As a byproduct, we provide an algorithm for computing t...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2012
ISSN: 0895-4798,1095-7162
DOI: 10.1137/110826278