DocumentCode
1468770
Title
Some properties of the matrix exponential
Author
López-Valcarce, Roberto ; Dasgupta, Soura
Author_Institution
Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA, USA
Volume
48
Issue
2
fYear
2001
fDate
2/1/2001 12:00:00 AM
Firstpage
213
Lastpage
215
Abstract
We give a simple condition on a matrix A for which if the exponential matrix eA is diagonal, lower or upper triangular, then so is A. It is also shown that for diagonalizable A and any matrix B, eA and B commute if and only if A and B commute. These results are useful in problems in which knowledge about A has to be extracted from structural information about its exponential, such as in large-scale sampled-data systems. They also find application in the area of blind system identification
Keywords
identification; matrix algebra; sampled data systems; blind system identification; large-scale sampled-data systems; matrix exponential; Analog-digital conversion; Circuit topology; Harmonic analysis; MOS capacitors; Matrix converters; Noise shaping; Resistors; Solid state circuits; Temperature dependence; Voltage;
fLanguage
English
Journal_Title
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1057-7130
Type
jour
DOI
10.1109/82.917793
Filename
917793
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