Title : 
A computer algorithm for optimal curve fitting
         
        
            Author : 
Nicoletti, Bernardo ; Mariani, Leonardo
         
        
            Author_Institution : 
University of Naples, Naples, Italy
         
        
        
        
        
            fDate : 
2/1/1971 12:00:00 AM
         
        
        
        
            Abstract : 
A given curve is approximated by a sequence of arcs pieced together continuously in such a way that each arc satisfies a linear differential equation of a general type with input vector constant in each interval. A computer algorithm based on a modified version of the discrete maximum principle for the optimal determination of the switching points and input vectors is outlined.
         
        
            Keywords : 
Curve fitting; Optimization methods; Piecewise-linear approximation; Automatic control; Control system synthesis; Control systems; Curve fitting; Differential equations; Feedback control; Optimal control; Piecewise linear techniques; Relays; Vectors;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1971.1099650