Practical Stability Analysis of Stochastic Swarms
Fuchen Pan, Xuebo Chen, Lin Li · 2008
This paper considers practical stability of stochastic swarm systems. Taking a simple function of mutual attraction and repulsion between the individuals, a stochastic swarm model with and without perturbations is defined. The practical stability of the system is proved. Then, stochastic swarm models with some kinds of perturbations and their corresponding practical stability are discussed. Finally, numerical simulations are worked out to illustrate our theoretical results.