Parameter Influence On The Zeros Of NetworkDeterminants
- To a network N(q) with determinant D(s;q) depending on a parameter vector q Î Rr via identification of some of its vertices, a network N^ (q) is assigned. The paper deals with procedures to find N^ (q), such that its determinant D^ (s;q) admits a factorization in the determinants of appropriate subnetworks, and with the estimation of the deviation of the zeros of D^ from the zeros of D. To solve the estimation problem state space methods are applied.
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| Author: | S. Feldmann, P. Lang, D. Prätzel-Wolters |
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| URN: | urn:nbn:de:hbz:386-kluedo-12983 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (36) |
| Document Type: | Report |
| Language of publication: | English |
| Year of Completion: | 2002 |
| Year of first Publication: | 2002 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2004/02/02 |
| Tag: | Equicofactor matrix polynomials; Matrix perturbation theory; Networks; Realization theory |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |