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A Blob Method for Advection-Diffusion-Reaction Systems with Application to Robotic Swarms

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서명/저자사항A Blob Method for Advection-Diffusion-Reaction Systems with Application to Robotic Swarms.
개인저자Zhang, Fangbo.
단체저자명University of California, Los Angeles. Mathematics 0540.
발행사항[S.l.]: University of California, Los Angeles., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항100 p.
기본자료 저록Dissertation Abstracts International 79-10B(E).
Dissertation Abstract International
ISBN9780438019270
학위논문주기Thesis (Ph.D.)--University of California, Los Angeles, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Adviser: Andrea L. Bertozzi.
요약In this dissertation, a blob method of measuring spatial coverage by a swarm of agents is presented, and two models are introduced: a macroscopic model, consisting of a system of Advection-Diffusion-Reaction equations that govern the spatial dis
요약First, we briefly review the history of Advection-Diffusion-Reaction (ADR) system in the literature. The ADR system models the agents' motion as drifted brownian motion, and the agents' reaction as probabilistic transition between different stat
요약Next, we explores a stochastic approach for controlling swarms of independent robots toward a target distribution in a bounded domain. The robots are resource-constraint: they lack both communication and localization capabilities, and can only
요약Finally, we presents a novel procedure for computing parameters of a robotic swarm that guarantee coverage performance by the swarm within a specified error from a target spatial distribution. The main contribution is the analysis of the depende
일반주제명Applied mathematics.
Robotics.
Agricultural engineering.
언어영어
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