Title : 
Stability circle criterion with 3rd-order spatial-harmonic balance for nonlinear distributed-parameter systems
         
        
        
            Author_Institution : 
University of Quebec at Montreal, Department of Mathematics, Montreal, Canada
         
        
        
        
        
        
        
            Abstract : 
A 1-dimensional, 1-distributed-parameter nonlinear system which exhibits a structure similar to that of the standard nonlinear control loop with lumped-parameter elements, is investigated from the viewpoint of its input-output stability. An approached stability circle criterion, available in the context of a 3rd-order harmonic balance with respect to the distributed parameter, is stated.
         
        
            Keywords : 
distributed parameter systems; nonlinear systems; stability criteria; input output stability; nonlinear distributed parameter systems; one dimensional one distributed parameter nonlinear system; stability circle criterion; third order spatial harmonic balance;
         
        
        
            Journal_Title : 
Electronics Letters
         
        
        
        
        
            DOI : 
10.1049/el:19720258