Title : 
Analysis and synthesis of dynamic systems containing time delays via block-pulse functions
         
        
            Author : 
Rao, Ganti Prasada ; Srinivasan, T.
         
        
            Author_Institution : 
Indian Institute of Technology, Department of Electrical Engineering, Kharagpur, India
         
        
        
        
        
            fDate : 
10/1/1978 12:00:00 AM
         
        
        
        
            Abstract : 
This paper presents a method of numerically integrating differential equations containing time delays via block-pulse functions. The resulting solutions are piecewise constant with minimal mean-square error. The method is based on the use of a newly developed `delay matrix¿ and enlarges the scope of useful applications of block-pulse functions to problems of dynamic systems. Examples of linear and nonlinear delay systems are included.
         
        
            Keywords : 
delay-differential systems; differential equations; integration; numerical methods; analysis; block pulse functions; delay differential systems; delay matrix; differential equations; dynamic systems; minimal mean square error; numerical integration; synthesis; time delays;
         
        
        
            Journal_Title : 
Electrical Engineers, Proceedings of the Institution of
         
        
        
        
        
            DOI : 
10.1049/piee.1978.0243