Title : 
Controllability, observability, and duality in singular systems
         
        
        
            Author_Institution : 
University of Wisconsin, Madison, WI, USA
         
        
        
        
        
            fDate : 
12/1/1984 12:00:00 AM
         
        
        
        
            Abstract : 
The concepts of controllability and observability for systems of the form 

 singular are considered. A theory is presented which unifies the three main approaches to this topic already existing in the literature. The development includes a generalization of the duality theorem from state-space theory.
 
        
            Keywords : 
Controllability, linear systems; Duality; Observability, linear systems; Singular systems; Controllability; Councils; Differential equations; Frequency domain analysis; H infinity control; Laplace equations; Linear systems; Observability; Terminology; Time domain analysis;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1984.1103451