DocumentCode
892872
Title
Some properties of matrix sign functions derived from continued fractions
Author
Shieh, L.S. ; Tsay, Y.T. ; Yates, R.E.
Author_Institution
University of Houston, Department of Electrical Engineering, Houston, USA
Volume
130
Issue
3
fYear
1983
fDate
5/1/1983 12:00:00 AM
Firstpage
111
Lastpage
118
Abstract
This paper proposes an alternate representation of a matrix sign function based on an irrational function described by a continued fraction. The properties of the continued fraction and the truncated continued fractions are investigated. Also, new algorithms for computing the matrix sign function are developed. The matrix sign function is then extended to a generalised matrix sign function for directly solving discrete-time system problems.
Keywords
approximation theory; discrete time systems; linear systems; matrix algebra; approximation theory; continued fractions; discrete-time system; irrational function; linear systems; matrix algebra; matrix sign functions;
fLanguage
English
Journal_Title
Control Theory and Applications, IEE Proceedings D
Publisher
iet
ISSN
0143-7054
Type
jour
DOI
10.1049/ip-d.1983.0020
Filename
4642181
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