Title :
A common error and a better use of the Laplace transform
Author :
Grilo, Francisco Correia Velez ; Casimiro, António Manuel ES
Author_Institution :
Fac. of Eng., Porto Univ., Portugal
Abstract :
The advantage of using the Laplace transform in circuits and systems, mainly to solve systems of integral-differential equations, is weakened when the circuits or the systems have nonzero initial conditions to be taken into account. This is the result of using initial conditions in the Laplace transform of the derivative of the signal. The signals must have null initial conditions. The advantage of using the Laplace transform to find the solution of differential equations with initial conditions is not lost if the origin of time is shifted to the left or if the superposability property is used
Keywords :
Laplace transforms; integro-differential equations; network synthesis; signal processing; Laplace transform; circuit theory; integral-differential equations; null initial conditions; signal processing; superposability property; system theory; Circuit analysis; Circuit synthesis; Circuits and systems; Convolution; Instruments; Laplace equations; Signal analysis; Signal processing; Signal resolution; Signal synthesis;
Conference_Titel :
Electrotechnical Conference, 1991. Proceedings., 6th Mediterranean
Conference_Location :
LJubljana
Print_ISBN :
0-87942-655-1
DOI :
10.1109/MELCON.1991.161778