Title :
Superstability of wave equations on a tree-shape network
Author :
Liu, Dongyi ; Xu, Genqi
Author_Institution :
Dept. of Math., Tianjin Univ., Tianjin, China
Abstract :
A tree-shape network consisting of seven strings with one fixed vertex is considered in this paper. And a sufficient condition is presented such that the network with linear speed feedbacks has not finite spectrum. So, under this condition it is shown that the network comes to rest in a finite time duration.
Keywords :
feedback; linear systems; network theory (graphs); stability; trees (mathematics); wave equations; finite time duration; linear speed feedbacks; sufficient condition; tree-shape network vertex; wave equation superstability; Abstracts; Educational institutions; Graph theory; Hilbert space; Propagation; Stability criteria; Entire Function of Exponential Type; Graph; Network; Superstability; Wave Equation;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
