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SUMMARY:Stability of distributed power control for time-varying wireless n
 etworks - Eoin Devane\, (Cambridge Centre for Analysis)
DTSTART:20121031T160000Z
DTEND:20121031T170000Z
UID:TALK40603@talks.cam.ac.uk
CONTACT:Kevin Crooks
DESCRIPTION:When designing a wireless network\, an important factor to con
 trol is the power that is transmitted by each individual node. We require 
 this power to be high enough that the connection remains reliable\, but no
 t so high that it might cause significant interference in the signal of ne
 ighboring nodes. Control of the power allocations is thus a topic that has
  been extensively studied in recent years. Now\, however\, we see a prolif
 eration in the use of mobile wireless devices. These mobile devices give r
 ise to a relative motion of the nodes of the network\, giving the system m
 odel an explicit time-dependence. In this talk we will consider a general 
 class of distributed algorithms for the control of power allocations in su
 ch time-varying wireless networks. We will utilise appropriately construct
 ed Lyapunov and Lyapunov-Razumikhin functions to prove the global asymptot
 ic stability of these algorithms\, even in the more complicated\, physical
 ly relevant situation where the system incorporates heterogeneous\, time-v
 arying delays. These conclusions will then be illustrated by consideration
  of a simplified numerical example of a wireless system with its users in 
 relative motion.\n\nThe work presented in this talk is joint work with Dr.
  Ioannis Lestas of the Department of Engineering\, University of Cambridge
 .
LOCATION:MR14\, Centre for Mathematical Sciences
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