| 引用本文: | 苏守宝,曹喜滨,孔敏.群活性与粒子群优化的稳定性分析[J].控制理论与应用,2010,27(10):1411~1417.[点击复制] |
| SU Shou-bao,CAO Xi-bin,KONG Min.Stability analysis of particle swarm optimization using swarm activity[J].Control Theory and Technology,2010,27(10):1411~1417.[点击复制] |
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| 群活性与粒子群优化的稳定性分析 |
| Stability analysis of particle swarm optimization using swarm activity |
| 摘要点击 1776 全文点击 2638 投稿时间：2009-07-23 修订日期：2010-01-08 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.10.CCTA090966 |
| 2010,27(10):1411-1417 |
| 中文关键词 全局优化 粒子群优化 群活性 确定性稳定性 |
| 英文关键词 global optimization particle swarm optimization (PSO) swarm activity deterministic stability |
| 基金项目 国防预研基金资助项目(113020102), 长江学者和创新团队发展计划资助项目(IRT0520); 国家自然科学基金资助项目(61075049); 安徽省自然科学基金资助项目(090412261X, 090412045). |
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| 中文摘要 |
| 在探讨粒子轨迹的随机过程的基础上, 用根轨迹特征值的谱半径来描述粒子群优化的PSO动态系统的稳定性区域; 提出并结合实例用群活性刻画了PSO稳定区域中不同参数区间上群行为的动态特征, 利用不动点技术通过数值实验描绘出PSO群活性谱及性能图, 解释了先前一些文献上提出的典型参数集之所以能够取得满意性能的理由, 利用PSO稳定三角中线提出保证PSO收敛性能的参数设置指导策略. |
| 英文摘要 |
| In the analysis of particle swarm optimization(PSO), particle trajectories are considered stochastic processes, and the stability region of the PSO dynamic system is illustrated by the eigenvalues and the spectrum radius. Through practical applications, we propose a new term, swarm activity, to characterize the dynamic behaviors of the swarm with different parameters in the stability region. By applying the fixed-point technique, we depict the swarm activity spectralbased performance maps of the PSO from numerical experiments. These maps account for the typical parameter sets put forth in existing literature for realizing desirable performances, and reconfirm the strategies of using the median of PSO stability triangle in adjusting parameters to ensure the convergence of the PSO. |
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