DocumentCode :
805116
Title :
Remarks on computing e^{At}
Author :
Cullen, Charlie
Author_Institution :
University of Pittsburgh, Pittsburgh, PA, USA
Volume :
16
Issue :
1
fYear :
1971
fDate :
2/1/1971 12:00:00 AM
Firstpage :
94
Lastpage :
95
Abstract :
Some points which have arisen in the author\´s attempts to teach Kirchner\´s method of computing eAt, where A is a real square matrix, to a class of undergraduate engineering students are discussed. These points include 1) how to avoid the one matrix inversion required, 2) how to handle pairs of complex eigenvalues, and 3) simplifications in the important case in which the eigenvalues are distinct.
Keywords :
Linear systems, time-invariant continuous-time; Matrix functions; Arithmetic; Differential equations; Ear; Eigenvalues and eigenfunctions; Engineering students; Polynomials;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1971.1099630
Filename :
1099630
Link To Document :
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