Globally Asymptotically Stable for Ezponential Type Stochastic Swarms
A novel Lagrangian individual-based isotropic continuous time exponential type stochastic swarming model in an n-dimensional Euclidean space with a family of attraction/repulsion function is proposed in this article. The stability of aggregating behavior of the swarms system are verified by stability theoretical analysis and numerical simulation. Stability analysis and numerical simulations results further indicate that the individual members living in group during the course of coordinative motion can realize the mutual aggregating behavior, the motion of each individual member is a combination of the inter-individual interactions, meanwhile, which are also presented to demonstrate the effectiveness of our model. The attraction/repulsion function is odd, so the attractive force and repulsion force taking effect in opposite direction that leads to aggregation behavior. Moreover, numerical simulation results of globally asymptotically stability analysis also verify the capability of the proposed relevant theories.
Stochastic swarms Stability Aggregation Isotropic Globally asymptotically stable
Zhibin Xue Jianchao Zeng
国际会议
Second International Symposium on Information Science and Engineering(第二届信息科学与工程国际会议)
上海
英文
603-607
2009-12-26（万方平台首次上网日期，不代表论文的发表时间）