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Conference Paper (international conference)

Block Toeplitz methods in polynomial matrix computations

Zuniga J. C., Henrion Didier

: Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, p. 1-7 , Eds: de Moor B., Motmans B., Willems J.

: MTNS 2004 /16./, (Leuven, BE, 05.07.2004-09.07.2004)

: CEZ:AV0Z1075907

: GA102/02/0709, GA ČR

: polynomial matrices, numerical linear algebra, computer-aided control system design

(eng): Some block Toeplitz methods applied to polynomial matrices are reviewed. We focus on the computation of the structure (rank, null-space, infinite and finite structures) of an arbitrary rectangular polynomial matrix. We also introduce some applications of this structural information in control theory. All the methods outlined here are based on the computation of the null-spaces of suitable block Toeplitz matrices.

(cze): Nektere blokove toeplitzovske metody pro vypocty s polynomialnimi maticemi jsou naplni tohoto clanku. Autori se soustredi na vypocet struktoury (hodnost, jadro, konecna a nekonecna struktura) libovolne obdelnikove polynomialni matice. Autori rovnez uvadeji nektere aplikace teto strukturalni informace v teorii rizeni

: 09I

: BC

07.01.2019 - 08:39