Title : 
An example of global observability of a chaotic system
         
        
        
            Author_Institution : 
Arizona State University, Tempe, AZ
         
        
        
        
        
        
        
            Abstract : 
We present an example of an observation function which globally observes the Smale Horseshoe, considered as a discrete time nonlinear dynamical system. Our purpose is to present a paradigm for observability of chaotic systems based on symbolic dynamics, and also to illustrate some pathologies which can arise due to the exponential instabilities inherent in chaotic dynamical systems.
         
        
            Keywords : 
Binary sequences; Books; Chaos; History; Kalman filters; Mathematics; Nonlinear dynamical systems; Observability; Pathology; State estimation;
         
        
        
        
            Conference_Titel : 
Decision and Control, 1987. 26th IEEE Conference on
         
        
            Conference_Location : 
Los Angeles, California, USA
         
        
        
            DOI : 
10.1109/CDC.1987.272540