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arXiv math/0305433math.OCmath.DS
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通过分布式动力系统的协调和几何optimization

Coordination and geometric optimization via distributed dynamical systems

Jorge Cortes, Francesco Bullo

摘要:

本文讨论了圆盘覆盖和球填充问题的动力系统。我们提出了设施的位置函数的几何优化和刻画其可微性质。我们设计和分析了一组与非光滑梯度系统相关的分布式控制律。由此产生的动力系统的承诺将用于网络机器人的协调问题,在这种设置中的分布式控制律对应于本地机器人之间的相互作用。该技术方法依赖于计算几何、非光滑分析和算法的动力系统方法的概念。

英文摘要:

This paper discusses dynamical systems for disk-covering and sphere-packing problems. We present facility location functions from geometric optimization and characterize their differentiable properties. We design and analyze a collection of distributed control laws that are related to nonsmooth gradient systems. The resulting dynamical systems promise to be of use in coordination problems for networked robots; in this setting the distributed control laws correspond to local interactions between the robots. The technical approach relies on concepts from computational geometry, nonsmooth analysis, and the dynamical system approach to algorithms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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