An Analysis for a Particle's Trajectory of PSO Based on Difference Equation

For particle swarm optimization is a dynamic discrete process,the authors made a thorough research on the stability of particle's trajectory in particle swarm through difference(equation) and Z transform,discuss the influences of pBest,gBest and randomicity on particle's trajectory,and analyze the relationship between trajectory's stability and algorithm convergence.The theoretical guide formulas and conditional expression for the PSO parameters choosing are also proposed in this paper,which are used to guide and balance the ability of exploration and exploitation of algorithm,and are helpful for the choosing and adjustment of PSO parameters in practical application.