Power delayed control system in wireless networks

International Journal of Development Research

Article ID: 
7 pages
Research Article

Power delayed control system in wireless networks

Thwiba Abdul slam Khalid and Mohammed Ali Bashir


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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