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A Lyapunov Krasovskii method for the stability of the Foschini-Miljanic algorithm under time-varying delays: An Independent of Delays approach
| Content Provider | Semantic Scholar |
|---|---|
| Author | Charalambous, Themistoklis |
| Copyright Year | 2010 |
| Abstract | Many of the distributed power control algorithms for wirele ss networks in the literature ignore the fact that while the algorithms necessitate commu nication among users, time-delays do exist in the network. This problem is of vital importance, since time-delays are omnipresent in wireless networks. The Foschini-Miljanic (FM) algorith m is provably stable if there are no time-delays in the execution of the algorithm or when thes e delays are constant. This work presents a more realistic version of the well known Fosc hini-Miljanic algorithm for Distributed Power Control since it considers the robustnes s of the algorithm in the presence of time-varying delays. Using the classical Lyapunov-Kras ovskii functional we prove that the FM algorithm is Globally Asymptotically Stable (GAS) fo r arbitrarily large time-varying delays, given the delay derivative is less than one. The vali dity of our results are shown through illustrative examples. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://themistoklis.org/papers/TR646.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
