Extraction of infinite zeros of polynomial matrices

0410521 - UTIA-B 20000237 RIV AU eng C - Conference Paper (international conference)
Henrion, D. - Ruiz-León, J. J. - Šebek, Michael
Extraction of infinite zeros of polynomial matrices.
Sydney: IEEE, 2000. ISBN 0-7803-6641-7. In: Proceedings of the 39th IEEE Conference on Decision and Control., s. 4221-4227
[IEEE Conference on Decision and Control /39./. Sydney (AU), 12.12.2000-15.12.2000]
R&D Projects: GA ČR GA102/99/1368
Grant - others:MŠMT(CZ) VS97034
Institutional research plan: AV0Z1075907
Subject RIV: BC - Control Systems Theory

An algorithm is described for computing the structure at infinity and extracting the infinite zeros of a given polynomial matrix. The algorithm relies on numerically reliable operations only. Applications include computation of the subspace of impulsive solution of a set of linear differential equations, derivation of the Smith format infinity of a polynomial matrix, or also enhanced computation of the characteristic polynomial of a linear system described by polynomial matrix fractions.
Permanent Link: http://hdl.handle.net/11104/0130610