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The right use of the Laplace transform in circuits

Title
The right use of the Laplace transform in circuits
Type
Article in International Conference Proceedings Book
Year
1991
Authors
Grilo, FCV
(Author)
Other
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Casimiro Antonio Manuel, ES
(Author)
Other
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João Correia Lopes
(Author)
FEUP
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Conference proceedings International
Pages: 906-908
33rd Midwest Symposium on Circuits and Systems
Calgary, Alberta, Can, 12 August 1990 through 15 August 1990
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Authenticus ID: P-00G-2N4
Abstract (EN): It is shown that in using the Laplace transform one has to start with the condition that imposes f(0-) = 0 in order to avoid errors in the derivative and integral operations. In that case the matrix representation of the circuits using the Laplace transform becomes possible and the resolution of integral-differential equations is straightforward. Nevertheless, it is possible to use the Laplace transform with signals that have no null initial conditions, keeping the mathematical coherence, by choosing between two ways: (1) shifting the origin of time domains to the left to obtain the null initial conditions, and (2) using the superposition theorem to obtain one partial signal with null initial conditions.
Language: English
Type (Professor's evaluation): Scientific
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