随机群体系统的数值仿真研究

提出了一种大规模随机群体系统模型,讨论了随机群体系统动态过程的数值仿真方法及仿真结果。仿真结果数值地验证了文中随机群体系统的稳定性。利用协调控制策略建立了随机群体的稳定聚集行为。这种基于个体的协调控制策略由群内个体间的吸引和排斥作用组合而成,从而保证了群内个体间的相互聚集以及碰撞规避。群内的每个个体的动态行为都依赖于它与群内其他个体的相对位置以及随机干扰对其的影响。在随机噪声的影响下,这种基于位置的控制策略仍然能够建立群体的协调的稳定聚集行为,使其自组织地形成swarm形态。

Numerical Simulations of Stochastic Swarm Systems

Based on a model of large-scale stochastic swarm system, the numerical simulation method and the simulation results for the dynamics of stochastic swarm system were discussed detailed, The simulation results were provided that verify the stability of the stochastic swarm model proposed in this paper, The stable aggregating behavior for the group was established by using a coordinated control scheme. This individual-based control scheme was a combination of attractive and repulsive interactions among the individuals in the group, which ensured the cohesion of the group and collision avoidance among the individuals. The dynamics of each individual depended on the relative positions between the individuals and the influences of the random disturbances, Under the influences of the noises, this position-based control strategy still generated the stable aggregating behavior harmoniously for the group and forms the self-organized swarm pattern.