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