TY - JOUR
T1 - Uniqueness of positive solutions for a class of p-Laplacion problems
AU - 
JO - Journal of Information and Computing Science
VL - 3
SP - 163
EP - 172
PY - 2024
DA - 2024/01
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22766.html
KW - wireless networks, congestion control, convergence, stability, Nyquist. 

AB - We consider link error or physical channel error in wireless networks and propose a new rate-
based congestion control scheme for wireless networks, which is based on the NUM framework developed 
for TCP-like congestion control model in wired networks. This scheme is distributed and can be implemented 
by  changing  the  number  of  connections  opened  by  one  user  and  requires  no  modification  to  either  the 
network infrastructure, or the network protocols. The scheme is proved to be global stability in the absence of 
round  trip  delay  of  each  user  and  all  trajectories  can  converge  to  the  unique  equilibrium  point.  The 
convergence rate is also studied and stochastic disturbance is analyzed. Furthermore, a sufficient condition is 
obtained under which the scheme is locally stable at the equilibrium point in the presence of delay based on 
the general Nyquist criterion of stability.