Title : 
Autonomous periodic motion in nonlinear feedback systems
         
        
            Author : 
Noldus, Erik J L
         
        
            Author_Institution : 
University of Ghent, Ghent, Belgium
         
        
        
        
        
            fDate : 
8/1/1974 12:00:00 AM
         
        
        
        
            Abstract : 
Sufficient conditions are presented for the existence of periodic motions in a class of autonomous, time-invariant, non-linear feedback systems. The conditions can be interpreted as circle type criteria, stated in terms of the frequency response and root locus diagrams for the system´s linear part, and in terms of the characteristics of the nonlinearity.
         
        
            Keywords : 
Feedback systems; Nonlinear systems, continuous-time; Automatic control; Control systems; Feedback; Frequency response; Helium; Light rail systems; Nonlinear control systems; Nonlinear equations; Stability; State-space methods;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1974.1100604