| Stability of the Newton-Like algorithm in optimization flow control |
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| 作者姓名： | 杨军 李世勇 唐美芹 关新平 |
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| 作者单位： | College of Science Yanshan University，College of Science，Yanshan University，Institute of Electrical Engineering，Yanshan University，Institute of Electrical Engineering，Yanshan University，Qinhuangdao 066004，China Mathematics Research Center inHebei Province，Shijiazhuang 050000，China，Qinhuangdao 066004，China School of Electronics and Information Engineering，Beijing Jiaotong University，Beijing 100044，China，Qinhuangdao 066004，China，Qinhuangdao 066004，China |
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| 基金项目： | the National Outstanding Youth Foundation of China (Grant No.60525303)，the NNSF of China( Grant No.60404022 and 60604004)，the NSF of Hebei Province (Grant No.102160)，the Special Projects in Mathematics Funded by Natural Science Foundation of Hebei Prov-ince(Grant No.07M005)，the NS of Education Office in Hebei Province (Grant No.2004123). |
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| 摘 要： | The stability of the Newton-like algorithm in optimization flow control is considered in this paper. This algorithm is proved to be globally stable under a general network topology by means of Lyapunov stability theory,without considering the round trip time of each source. While the stability of this algorithm with considering the round trip time is analyzed as well. The analysis shows that the algorithm with only one bottleneck link accessed by several sources is also globally stable,and all trajectories described by this algorithm ultimately converge to the equilibrium point.
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| 关 键 词： | 流控制 最优化 整体稳定性 计算机技术 |
| 文章编号： | 1005-9113（2007）06-0803-04 |
| 收稿时间： | 2006-04-06 |
Stability of the Newton-Like algorithm in optimization flow control |
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| YANG Jun, LI Shi-yong , TANG Mei-qin, GUAN Xin-ping.Stability of the Newton-Like algorithm in optimization flow control[J].Journal of Harbin Institute of Technology,2007,14(6):803-806. |
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| Authors: | YANG Jun LI Shi-yong TANG Mei-qin GUAN Xin-ping |
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| Abstract: | The stability of the Newton-like algorithm in optimization flow control is considered in this paper. This algorithm is proved to be globally stable under a general network topology by means of Lyapunov stability theory,without considering the round trip time of each source. While the stability of this algorithm with considering the round trip time is analyzed as well. The analysis shows that the algorithm with only one bottleneck link accessed by several sources is also globally stable,and all trajectories described by this algorithm ultimately converge to the equilibrium point. |
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| Keywords: | flow control Newton-like algorithm optimization global stability Lyapunov function |
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