2021
DOI: 10.1007/s42979-021-00447-5
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Algebraic Stability Analysis of Particle Swarm Optimization Using Stochastic Lyapunov Functions and Quantifier Elimination

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 a reevaluation and extension of previously known stability regions for PSO using a Lyapunov approach under stagnation assumptions.

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Cited by 3 publications
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Section: Introductionmentioning
confidence: 99%
“…How to improve network service quality with limited network resources while ensuring user QoE (quality of experience) has become an urgent problem for ISPs (Internet service providers) to solve [13]. At the same time, the current Internet architecture and best-effort service mode are insufficient for streaming media transmission [14].…”
Section: Introductionmentioning
confidence: 99%