Title : 
Interpolation with bounded real rational units with applications to simultaneous stabilization
         
        
            Author : 
Bredemann, Mike ; Abdallah, Chaouki T. ; Dorato, Peter
         
        
            Author_Institution : 
Sandia Nat. Labs., Albuquerque, NM, USA
         
        
        
        
        
        
            Abstract : 
In this paper we present sufficient conditions for the existence of a bounded real rational unit in H∞ to exactly interpolate to points in the right half plane (RHP). It is shown that these sufficient conditions are equivalent to the necessary and sufficient conditions for the existence of a bounded real irrational unit in H∞ to interpolate to points in the RHP, as initially described by Tannenbaum (1980, 1982). The technique is then applied to the simultaneous stabilization problem
         
        
            Keywords : 
H∞ control; interpolation; stability; H∞ control; bounded real rational units; interpolation; necessary and sufficient conditions; simultaneous stabilization; Chaos; Interpolation; Polynomials; Robust control; Sufficient conditions; Taylor series; Testing;
         
        
        
        
            Conference_Titel : 
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
         
        
            Conference_Location : 
New Orleans, LA
         
        
        
            Print_ISBN : 
0-7803-2685-7
         
        
        
            DOI : 
10.1109/CDC.1995.478910