论文标题
使用随机Lyapunov函数和消除量化的粒子群优化粒子群的收敛分析
Convergence analysis of particle swarm optimization using stochastic Lyapunov functions and quantifier elimination
论文作者
论文摘要
本文通过提议采用随机Lyapunov函数并确定量化器消除设置的收敛性,从而增加了有关粒子群稳定性的理论方面的讨论。我们提出了一个计算程序,并表明这种方法会在停滞假设下使用Lyapunov方法对PSO的先前已知稳定区域进行重新评估和扩展。
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.