Title : 
Stability analysis of a kind of large-scale systems composed of symmetrically coupled subsystems
         
        
            Author : 
Liqun, Gao ; Keping, Leng ; Siying, Zhang
         
        
            Author_Institution : 
Inst. of Autom., Acad. Sinica, Shenyang, China
         
        
        
        
        
        
            Abstract : 
This paper discusses the stability for a class of symmetric composite systems. For the asymptotic stability of the overall system without control a necessary and sufficient condition is given. It is shown that the Lyapunov function concerned with the overall systems can be simplified
         
        
            Keywords : 
Lyapunov methods; asymptotic stability; control system analysis; large-scale systems; linear systems; matrix algebra; Lyapunov function; asymptotic stability; large-scale systems; linear systems; matrix algebra; necessary condition; sufficient condition; symmetrically coupled subsystems; Automatic control; Automation; Equations; Interconnected systems; Laboratories; Large-scale systems; Linear matrix inequalities; Stability analysis; Symmetric matrices; Systems engineering and theory;
         
        
        
        
            Conference_Titel : 
American Control Conference, 1997. Proceedings of the 1997
         
        
            Conference_Location : 
Albuquerque, NM
         
        
        
            Print_ISBN : 
0-7803-3832-4
         
        
        
            DOI : 
10.1109/ACC.1997.609515