Title :
Explicit inversion of the Laplace transform by a Jacobi-Gauss quadrature approximation
Author :
Carr, Harriet ; Cook, G.
Author_Institution :
Vanderbilt University, Nashville, TN, USA
fDate :
12/1/1969 12:00:00 AM
Abstract :
The method of explicit inversion of the Laplace transform equation previously developed is extended by the use of a Jacobi-Gauss quadrature formula The step response of a second-order system is approximated, and time-domain data are obtained by using the inverse matrix.
Keywords :
Approximation methods; Laplace transforms; Automatic control; Character generation; Control systems; Jacobian matrices; Laplace equations; Linear systems; Parameter estimation; Polynomials; Time domain analysis; Time factors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1969.1099331