Stability Analysis of Stochastic Swarm Systems  

作　　者：YANG Bo FANG Huajing 

机构地区：[1]Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2007年第3期506-510,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (60574088, 60274014)

摘　　要：In this paper, we present a model of stochastic swarm system and prove the stability of this kind of systems. We establish the stable aggregating behavior for the group using a coordination control scheme. This individual-based control scheme is a combination of attractive and repulsive interactions among the individuals in the group, which ensures the cohesion of the group and collision avoidance among the individuals. The dynamics of each individual depends 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 generates the stable aggregating behavior harmoniously for the group and the self-organized swarm pattern is formed.In this paper, we present a model of stochastic swarm system and prove the stability of this kind of systems. We establish the stable aggregating behavior for the group using a coordination control scheme. This individual-based control scheme is a combination of attractive and repulsive interactions among the individuals in the group, which ensures the cohesion of the group and collision avoidance among the individuals. The dynamics of each individual depends 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 generates the stable aggregating behavior harmoniously for the group and the self-organized swarm pattern is formed.

关 键 词：stochastic swarm systems swarm pattern stochastic differential equations Lyapunov stability theory 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]