Title : 
A general stability theorem for linear discrete-time systems
         
        
            Author : 
Soh, C.B. ; Berger, C.S. ; Dabke, K.P.
         
        
            Author_Institution : 
Monash University, Clayton, Victoria, Australia
         
        
        
        
        
            fDate : 
5/1/1985 12:00:00 AM
         
        
        
        
            Abstract : 
The strongest sufficient conditions for constraining zeros to be on or within a circular region in the 

 plane in terms of weighted absolute norms are derived using elementary geometry. It is shown that the weighted L
1norm yields the strongest result.
 
        
            Keywords : 
Stability, linear systems; Controllability; Differential equations; Hafnium; Linear systems; Notice of Violation; Observability; Open loop systems; Stability; System testing; Terminology;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1985.1103986