Title : 
On a frequency-domain condition in linear optimal control theory
         
        
            Author : 
Moylan, Peter J.
         
        
            Author_Institution : 
University of Newcastle, Newcastle, New South Wales, Australia
         
        
        
        
        
            fDate : 
12/1/1975 12:00:00 AM
         
        
        
        
            Abstract : 
A simple frequency domain inequality is known to be necessary but not, in general, sufficient, for the existence of the infimum defined by a linear-quadratic optimal control problem. This note shows that for a certain class of performance indices, the condition is also sufficient.
         
        
            Keywords : 
Linear systems, time-invariant continuous-time; Optimal control; Australia; Controllability; Fault detection; Frequency domain analysis; Linear matrix inequalities; Linear systems; Optimal control; Performance analysis; Symmetric matrices; Time domain analysis;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1975.1101110