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Computation of Signature Symmetric Balanced Realizations

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Date

2003

Authors

Helmke, Uwe
Hueper, Knut
Moore, John

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

A new numerical scheme for computing balancing coordinate transformations for signature symmetric realizations in linear systems theory is presented. The method is closely related to the Jacobi method for diagonalizing symmetric matrices. Here the minimization of the sum of traces of the Gramians by orthogonal and hyperbolic Jacobi-type rotations is considered. Local quadratic convergence of the algorithm is shown.

Description

Keywords

Keywords: Algorithms; Balancing; Convergence of numerical methods; Mathematical transformations; Matrix algebra; Quadratic convergence; Linear systems Balancing; Cost function; Jacobi method; Quadratic convergence; Signature symmetric realizations

Citation

URI

http://hdl.handle.net/1885/88412

Collections

ANU Research Publications

Source

Journal of Global Optimization

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1023/A:1024822603531

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