Convergence analysis of particle swarm optimization using stochastic Lyapunov functions and quantifier elimination
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Publication:6334162
arXiv2002.01673MaRDI QIDQ6334162
Hendrik Richter, Maximilian Gerwien, Rick Voßwinkel
Publication date: 5 February 2020
Abstract: This paper adds to the discussion about theoretical aspects of particle swarm stability by proposing to employ stochastic Lyapunov functions and to determine the convergence set by quantifier elimination. We present a computational procedure and show that this approach leads to reevaluation and extension of previously know stability regions for PSO using a Lyapunov approach under stagnation assumptions.
Has companion code repository: https://github.com/sati-itas/pso_stabiliy_SLAQE
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