Title : 
On the dissipativity of uncontrollable systems
         
        
            Author : 
Çamlibel, M.K. ; Willems, Jan C. ; Belur, Madhu N.
         
        
            Author_Institution : 
Dogus Univ., Istanbul, Turkey
         
        
        
        
        
        
            Abstract : 
This paper deals with dissipativity of uncontrollable linear time-invariant systems with quadratic supply rates and storage functions. A definition of dissipativity appropriate for this class of systems is given. We present a necessary and sufficient condition for dissipativeness in the single input/single output case.
         
        
            Keywords : 
controllability; linear systems; controllability; linear time-invariant systems; quadratic supply rates; single input-single output case; storage functions; system dissipativity; uncontrollable systems; Circuit synthesis; Circuit theory; Controllability; Image representation; Impedance; Inductors; Observability; Polynomials; Resistors; Sufficient conditions;
         
        
        
        
            Conference_Titel : 
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
         
        
        
            Print_ISBN : 
0-7803-7924-1
         
        
        
            DOI : 
10.1109/CDC.2003.1272848