Uniqueness of positive solutions for a class of p-Laplacion problems
Year: 2008
Journal of Information and Computing Science, Vol. 3 (2008), Iss. 3 : pp. 163–172
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22766
Journal of Information and Computing Science, Vol. 3 (2008), Iss. 3 : pp. 163–172
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10