Some properties of the matrix exponential

Roberto Lopez-Valcarce; Soura Dasgupta

doi:10.1109/82.917793

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Journal article

Some properties of the matrix exponential

Roberto Lopez-Valcarce and Soura Dasgupta

IEEE transactions on circuits and systems. 2, Analog and digital signal processing, Vol.48(2), pp.213-215

02/2001

DOI: 10.1109/82.917793

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Abstract

We give a simple condition on a matrix A for which if the exponential matrix e/sup A/ is diagonal, lower or upper triangular, then so is A. It is also shown that for diagonalizable A and any matrix B, e/sup A/ 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.

Resistors

Harmonic Analysis

Circuit topology

Temperature dependence

MOS capacitors

Voltage

Solid state circuits

Noise shaping

Matrix converters

Analog-digital conversion

Details

Title: Subtitle: Some properties of the matrix exponential
Creators: Roberto Lopez-Valcarce - Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA, USA
Soura Dasgupta
Resource Type: Journal article
Publication Details: IEEE transactions on circuits and systems. 2, Analog and digital signal processing, Vol.48(2), pp.213-215
DOI: 10.1109/82.917793
ISSN: 1057-7130
eISSN: 1558-125X
Publisher: IEEE
Language: English
Date published: 02/2001
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984083226202771

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