Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
作者:
J. D. ROBERTS,
期刊:
International Journal of Control
(Taylor Available online 1980)
卷期:
Volume 32,
issue 4
页码: 677-687
ISSN:0020-7179
年代: 1980
DOI:10.1080/00207178008922881
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The sign function of a square matrix can be defined in terms of a contour integral or as the result of an iterated map $. Application of this function enables a matrix to be decomposed into two components whose spectra lie on opposite sides of the imaginary axis. This has application in reduction of linear systems to lower order models and in the solution of the matrix Lyapunov and algebraic Riccati equations.
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