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Stability analysis of particle swarm optimization without Lipschitz constraint

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Abstract

There are some adjustable parameters which directly influence the performance and stability of Particle Swarm Optimization algorithm. In this paper, stabilities of PSO with constant parameters and time-varying parameters are analyzed without Lipschitz constraint. Necessary and sufficient stability conditions for acceleration factor P and inertia weight w are presented. Experiments on benchmark functions show the good performance of PSO satisfying the stability condition, even without Lipschitz constraint. And the inertia weight ω value is enhanced to (-1,1).

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Authors and Affiliations

  1. Department of Automatic Control, School of Information Science Technology, Beijing Institute of Technology, 100081, Beijing, China

    Jie Chen, Feng Pan, Tao Cai & Xuyan Tu

Authors
  1. Jie Chen
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  2. Feng Pan
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  3. Tao Cai
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  4. Xuyan Tu
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Chen, J., Pan, F., Cai, T. et al. Stability analysis of particle swarm optimization without Lipschitz constraint. J. Control Theory Appl. 1, 86–90 (2003). https://doi.org/10.1007/s11768-003-0014-2

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  • DOI: https://doi.org/10.1007/s11768-003-0014-2

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