Power delayed control system in wireless networks

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International Journal of Development Research

Volume: 
7
Article ID: 
9131
7 pages
Research Article

Power delayed control system in wireless networks

Thwiba Abdul slam Khalid and Mohammed Ali Bashir

Received 04th March, 2017; Received in revised form 29th April, 2017; Accepted 15th May, 2017; Published online 30th June, 2017

Copyright© 2017, Thwiba Abdul slam Khalid and Mohammed Ali Bashir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract: 

We investigated in detail the methods of Lyapunov for ordinary differential equation systems and the extensions of these due to Razumikhin for delay differential equation systems. We then applied the application of some of these methods to an important general class of continuous-time algorithms for the control of antenna transmission powers in wireless networks. Here we employ appropriately constructed Lyapunov functions to show that, in the absence of time-delays, any bounded power distribution obtained from these algorithms is uniformly asymptotically stabl.

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