Title : 
Vector-valued hyperbolic system and applications to the complex networks of strings
         
        
            Author : 
Xu, Gen Qi ; Zhang, Ya Xuan
         
        
            Author_Institution : 
Dept. of Math., Tianjin Univ., Tianjin, China
         
        
        
        
        
        
            Abstract : 
In this note, we firstly recall the main results in [1] and their brief proofs. As applications of the results, we study the control problem of the general networks of strings. Some new examples of networks of strings with circuits are given.
         
        
            Keywords : 
complex networks; partial differential equations; vectors; PDE models; complex networks; string network; vector valued differential equation; vector valued hyperbolic system; Biomembranes; Circuits; Complex networks; Controllability; Differential equations; Flexible structures; Mirrors; Satellite antennas; Transmitting antennas; Yttrium;
         
        
        
        
            Conference_Titel : 
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
         
        
            Conference_Location : 
Shanghai
         
        
        
            Print_ISBN : 
978-1-4244-3871-6
         
        
            Electronic_ISBN : 
0191-2216
         
        
        
            DOI : 
10.1109/CDC.2009.5400250