全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
电子学报  2012 

连续型粒子群优化算法的均方收敛性分析

DOI: 10.3969/j.issn.0372-2112.2012.07.013, PP. 1364-1367

Keywords: 矩方程法,随机过程,粒子群优化算法,均方收敛

Full-Text   Cite this paper   Add to My Lib

Abstract:

粒子群优化算法是基于生物群体内个体间的合作与竞争等复杂行为产生的群体智能优化算法,已有的理论分析多在确定性的情况下进行算法收敛性分析.本文基于随机系统的矩方程法分析了连续型粒子群优化算法的均方收敛性,并给出了能够保证算法均方收敛域,最后通过仿真实验分析验证了相关结论.

References

[1]  Fernández-Martínez J L,García-Gonzalo E,Fernández-Alvarez J P.Theoretical analysis of particle swarm trajectories through a mechanical analogy[J].International Journal of Computational Intelligence Research,2008,4(2):93-104.
[2]  Kadirkamanathan V,Selvarajah K,Fleming P.Stability analysis of the Particle dynamics in particle swarm[J].IEEE Transactions on Evolutionary Computation,2006,10(3):245-255.
[3]  Pederson M E.Good Parameters for Particle Swarm Optimization.Hvass aboratories,Technical Report HL1001.http://www.hvass-labs.org/people/magnus/publications/pedersen10good-pso.pdf.2010.
[4]  Mikki S M,Kishk A A.Physical theory for particle swarm optimization[J].Progress in Electromagnetics research,2007,75:171-207.
[5]  彭喜元,彭宇,戴毓丰,等.群智能理论及其应用[J].电子学报,2003,31(12A):1982-1988. PENG Xi-yuan,PENG Yu,DAI Yu-feng.Swarm intelligence theory and applications.Acta Electronica Sinica,2003,31(12A):1982-1988.(in Chinese)
[6]  Kennedy J,Eberhart RC.Particle swarm optimization.Proceedings of IEEE International Conference on Neural Networks.Perth,Australia,1995.1942-1948.
[7]  Shi YH,Eberhart RC.A modified particle swarm optimizer.Proceedings of the IEEE International Conference on Evolutionary Computation.Piscataway,NJ,Anchorage,AK USA:IEEE service center,1998.69-73.
[8]  Poli R,Kennedy J,Blackwell T.Particle swarm optimization[J].Swarm Intelligence,2007,(1):33-57.
[9]  Clerc M,Kennedy J.The particle swarm-explosion,stability,and convergence in a multidimensional complex space[J].IEEE Transactions on Evolutionary computation,2002,6(1):58-73.
[10]  Trelea I C.The particle swarm optimization algorithm:Convergence analysis and parameter Selection[J].Information Processing Letters,2003,85(6):317-325.
[11]  Emara H M,Fattah A H A.Continuous swarm optimization technique with stability analysis.Proceedings of American Control Conference.Cairo,Egypt,2004.2811-2817.
[12]  金欣磊,马龙华,吴铁军,等.基于随机过程的PSO收敛性分析[J].自动化学报,2007,33(12):1263-1268. Jin X L,Ma L H,Wu T J,et al.Convergence analysis of the particle swarm optimization based on stochastic processes[J].Acta Automatica Sinica,2007,33(12):1263-1268.(in Chinese)
[13]  Van der Bergh F,Engelbrecht A P.A study of particle swarm optimization particle trajectories[J].Information Sciences,2006,176(8):937-971.
[14]  Soong T T.Random Differential Tail Equations in Science and Engineering[M].New York and London:Academic Press,1973.
[15]  Collins J D,Thomson W T.The eigen value problem for structural systems with statistical properties[J].AIAA Journal,1969,7(4):642-648.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133