Title : 
A geometric solution to the cheap spectral factorization problem
         
        
            Author : 
Marro, Giovanni ; Morbidi, Fabio ; Prattichizzo, Domenico
         
        
            Author_Institution : 
Dipt. di Elettron., Inf. e Sist., Univ. di Bologna, Bologna, Italy
         
        
        
        
        
        
            Abstract : 
The paper studies the cheap spectral factorization problem in the state space from a strictly geometric viewpoint. A new solution based on the geometric properties of the related Hamiltonian system is proposed and the connection between the H2-optimal model following and the spectral factorization problems is pointed out. A numerical example illustrates the theory and shows the effectiveness of the proposed solution.
         
        
            Keywords : 
H2 control; matrix decomposition; optimal control; H2-optimal model; Hamiltonian system; cheap spectral factorization problem; geometric solution; geometric viewpoint; state space; Decision support systems; Europe; Silicon;
         
        
        
        
            Conference_Titel : 
Control Conference (ECC), 2009 European
         
        
            Conference_Location : 
Budapest
         
        
            Print_ISBN : 
978-3-9524173-9-3