Open Access Open Access  Restricted Access Subscription or Fee Access

The parameter selection of PSO using Lyapunov theory

Qun Jia, Yongxin Li

Abstract


The particle swarm optimization（PSO） is a random intelligence algorithm with the characteristic of multidimensional search in the space. Its stability is a necessary precondition for its convergence. To improve the performance of the PSO algorithm, this paper adopts the Lyapunov theory to analyze the stability of the spatial state equation transformed from the standard PSO algorithm, and determines the stability constraint between parameter and parameter , which is used as the guidance of the stable flight of the particles. Thus the constraint PSO is proposed as the improvement of the standard PSO. Through the test function, this paper verifies that the algorithm with the selection of parameters constrained by the Lyapunov theory is able to improve the performance of the standard PSO model. In other words, the constraint PSO has faster convergence and better accuracy than the standard PSO.

Keywords


PSO, Lyapunov theory, constraint parameters.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.