Nonlinear Dynamics

, Volume 61, Issue 1, pp 295–301

Particle swarm optimization with fractional-order velocity

  • E. J. Solteiro Pires
  • J. A. Tenreiro Machado
  • P. B. de Moura Oliveira
  • J. Boaventura Cunha
  • Luís Mendes
Original Paper

DOI: 10.1007/s11071-009-9649-y

Cite this article as:
Solteiro Pires, E.J., Tenreiro Machado, J.A., de Moura Oliveira, P.B. et al. Nonlinear Dyn (2010) 61: 295. doi:10.1007/s11071-009-9649-y

Abstract

This paper proposes a novel method for controlling the convergence rate of a particle swarm optimization algorithm using fractional calculus (FC) concepts. The optimization is tested for several well-known functions and the relationship between the fractional order velocity and the convergence of the algorithm is observed. The FC demonstrates a potential for interpreting evolution of the algorithm and to control its convergence.

Keywords

Particle swarm optimization Fractional calculus 

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • E. J. Solteiro Pires
    • 1
  • J. A. Tenreiro Machado
    • 2
  • P. B. de Moura Oliveira
    • 1
  • J. Boaventura Cunha
    • 1
  • Luís Mendes
    • 3
  1. 1.Centro de Investigação e de Tecnologias Agro-Ambientais e BiológicasUniversidade de Trás-os-Montes e Alto DouroVila RealPortugal
  2. 2.Inst. Sup. de Engenharia do Porto, Instituto Politécnico do PortoPortoPortugal
  3. 3.Inst. Politécnico de Leiria/Inst. de telecomunicaçõesLeiriaPortugal

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