Title :
On the use of SoS methods for analysis of connection-level stability in the Internet
Author :
Lakshmikantha, Ashvin ; Beck, C.L. ; Srikant, R.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Champaign, IL, USA
Abstract :
We study connection-level models of file transfer requests in the Internet, where connection arrivals to each route occur according to Poisson processes and the file-sizes have phase-type distributions. We investigate the use of the sum-of-squares technique to construct Lyapunov functions that satisfy Foster´s condition for stochastic stability.
Keywords :
Internet; Lyapunov methods; Poisson distribution; data communication; stability; stochastic processes; Foster condition; Internet; Lyapunov functions; Poisson processes; SoS methods; connection-level stability analysis; file transfer requests; phase-type distributions; stochastic stability; sum-of-squares technique; Algorithm design and analysis; Bandwidth; Internet; Lyapunov method; Network topology; Numerical stability; Protocols; Resource management; Stability analysis; Stochastic processes;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470377
