Title : 
The periodic Riccati equation: Existence of a periodic positive sernidefinite solution
         
        
            Author : 
Bittanti, S. ; Colaneri, P. ; De Nicolao, G.
         
        
            Author_Institution : 
Politecnico di Milano, Milano, Italy
         
        
        
        
        
        
        
            Abstract : 
In this paper, the existence of a positive semidefinite periodic solution of the periodic Riccati differential equation is dealt with. Precisely, a necessary and sufficient condition is given in terms of the asymptotic stability of the observable and uncontrollable part of the underlying system.
         
        
            Keywords : 
Asymptotic stability; Differential equations; Eigenvalues and eigenfunctions; Riccati equations; Stability analysis; Sufficient conditions;
         
        
        
        
            Conference_Titel : 
Decision and Control, 1987. 26th IEEE Conference on
         
        
            Conference_Location : 
Los Angeles, California, USA
         
        
        
            DOI : 
10.1109/CDC.1987.272783