On Stability of Congestion Control for Networks with Time Varying Link Capacities
For the investigation of congestion control problems in networks, link capacities are explicitly modeled to be time varying. A primal-dual congestion control algorithm proposed by Kelly is provided to be asymptotically stable in the absence of feedback delay. Different from system stability around a single equilibrium point, trajectory stability guarantees the system is stable around a time varying reference trajectory. Moreover, the sufficient conditions are obtained for the scheme to be locally stable in the presence of delay. The key technique is to model time variations of capacities as perturbations to a constant link. Furthermore, to study the robustness of the algorithm against capacity variations, the sensitivity of the control scheme is also investigated. The theoretic result is meaningful.
Muyi Yang Yucheng Zhou Yuanwei Jing
School of Information Science and Engineering Northeastern University Shenyang, Liaoning, 110004 Department of Research Institute of Wood Industry Chinese Academy of Forestry Beijing, 100091
国际会议
南宁
英文
2007-07-20（万方平台首次上网日期，不代表论文的发表时间）