Title
Stability analysis of the particle dynamics in particle swarm optimizer
Abstract
Previous stability analysis of the particle swarm optimizer was restricted to the assumption that all parameters are nonrandom, in effect a deterministic particle swarm optimizer. We analyze the stability of the particle dynamics without this restrictive assumption using Lyapunov stability analysis and the concept of passive systems. Sufficient conditions for stability are derived, and an illustrative example is given. Simulation results confirm the prediction from theory that stability of the particle dynamics requires increasing the maximum value of the random parameter when the inertia factor is reduced.
Year
DOI
Venue
2006
10.1109/TEVC.2005.857077
IEEE Trans. Evolutionary Computation
Keywords
Field
DocType
maximum value,illustrative example,passive system,inertia factor,restrictive assumption,previous stability analysis,particle swarm optimizer,lyapunov stability analysis,deterministic particle swarm optimizer,particle dynamic,predictive models,lyapunov function,particle swarm optimization,deterministic approach,particle motion,circle criterion,stability,feedback,genetic algorithms,evolutionary algorithm,stochastic processes,swarm intelligence,stability analysis,neural network
Particle swarm optimization,Lyapunov function,Mathematical optimization,Circle criterion,Swarm intelligence,Lyapunov stability,Stochastic process,Deterministic system (philosophy),Mathematics,Magnetosphere particle motion
Journal
Volume
Issue
ISSN
10
3
1089-778X
Citations 
PageRank 
References 
144
12.27
14
Authors
3
Search Limit
100144
Name
Order
Citations
PageRank
V. Kadirkamanathan135539.25
Kirusnapillai Selvarajah215215.11
P. J. Fleming329866.79