关键词: PSO算法, 线性时变离散系统, 线性定常离散系统, 单步定常线性迭代格式, 收敛性分析

Abstract: The PSO algorithm itself is in the linear time-variable discrete system.The existing convergence study of PSO algorithm is conducted by transforming it into linear time-invariant discrete systems through certain supposition.The mathematical model of both linear time-invariant discrete system and solving single-step time-invariant linear iterative method of linear equations group is exactly the same.So stability analysis of linear time-invariant discrete systems can be transformed into convergence analysis of single-step time-invariant linear iterative method.In this way，a new way is obtained to think and solve on convergence analysis study of the PSO algorithm.

Key words: Particle Swarm Optimization（PSO） algorithm, linear time-varying discrete systems, linear time-invariant discrete systems, single-step time-invariant linear iterative method, convergence analysis