Title : 
Analysis on the Laguerre formula for approximating delay systems
         
        
        
            Author_Institution : 
Dept. of Mech. Eng., Hong Kong Univ., Hong Kong
         
        
        
        
        
            fDate : 
7/1/1994 12:00:00 AM
         
        
        
        
            Abstract : 
This paper provides a detailed analysis on the commonly employed Laguerre formula for approximating delay systems. Convergence proofs are provided, and error bounds are constructed with respect to the L∞ and L2 norms
         
        
            Keywords : 
approximation theory; convergence; delays; frequency-domain analysis; transfer functions; L∞ norms; L2 norms; Laguerre formula; convergence; delay system approximation; error bounds; frequency response error; Automatic control; Control nonlinearities; Control systems; Delay systems; Feedback; Frequency domain analysis; Jacobian matrices; Linear systems; Load flow; Windup;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on