Particle swarm optimization: dynamical analysis through fractional calculus

This chapter considers the particle swarm optimization algorithm as a system, whose dynamics is studied from the point of view of fractional calculus. In this study some initial swarm particles are randomly changed, for the system stimulation, and its response is compared with a non-perturbed refere...

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Detalhes bibliográficos
Autor principal: Pires, E. J. Solteiro (author)
Outros Autores: Machado, J. A. Tenreiro (author), Oliveira, P. B. Moura (author)
Formato: bookPart
Idioma:eng
Publicado em: 2014
Texto completo:http://hdl.handle.net/10400.22/4115
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/4115
Descrição
Resumo:This chapter considers the particle swarm optimization algorithm as a system, whose dynamics is studied from the point of view of fractional calculus. In this study some initial swarm particles are randomly changed, for the system stimulation, and its response is compared with a non-perturbed reference response. The perturbation effect in the PSO evolution is observed in the perspective of the fitness time behaviour of the best particle. The dynamics is represented through the median of a sample of experiments, while adopting the Fourier analysis for describing the phenomena. The influence upon the global dynamics is also analyzed. Two main issues are reported: the PSO dynamics when the system is subjected to random perturbations, and its modelling with fractional order transfer functions.