复杂动态环境下群体自聚性分析

Stability Analysis of Aggregation in Complex Dynamic Environment

群集智能由简单个体之间的相互作用涌现出来,这种涌现出来的智能可以解决许多复杂的问题.群体稳定地自聚是有效完成任务的前提.首先从群集智能系统中个体的局部感知能力出发,建立群体聚集的个体运动学模型.然后利用Lyapunov稳定性理论对系统的自聚性进行稳定性分析.在分析中考虑了个体感知能力有限、动态环境以及噪声等复杂环境情况,使得系统分析更加接近实际.最后,通过仿真实验验证了理论的正确性.

Swarm Intelligence which emerges from interactions of simple individuals can be used to solve many problems. The precondition of completing tasks depends on whether the individual is self-aggregated stably. Firstly, in the capability of local sensing, the individual model of aggregation is built. Then,in order to make the system more practical, the stability of aggregation behavior in local sensing, dynamic and noisy environment is proved by Lyapunov stability theory. Finally, the experiments in Matlab support the conclusions of theoretical analysis.