Particle swarm optimization with fractional-order velocity

Pires, E. J. Solteiro; Machado, J. A. Tenreiro; Oliveira, P. B. de Moura; Cunha, J. Boaventura; Mendes, Luís

http://hdl.handle.net/10400.8/14595

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Particle swarm optimization with fractional-order velocity.pdf	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 wellknown 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.	655.82 KB	Adobe PDF	Download

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Authors

Pires, E. J. Solteiro

Machado, J. A. Tenreiro

Oliveira, P. B. de Moura

Cunha, J. Boaventura

Mendes, Luís

Abstract(s)

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 wellknown 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

URI

http://hdl.handle.net/10400.8/14595

Citation

Solteiro Pires, E.J., Tenreiro Machado, J.A., de Moura Oliveira, P.B. et al. Particle swarm optimization with fractional-order velocity. Nonlinear Dyn 61, 295–301 (2010). https://doi.org/10.1007/s11071-009-9649-y.