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020 ▼a 9780438019270
035 ▼a (MiAaPQ)AAI10825899
035 ▼a (MiAaPQ)ucla:16817
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 519
1001 ▼a Zhang, Fangbo.
24512 ▼a A Blob Method for Advection-Diffusion-Reaction Systems with Application to Robotic Swarms.
260 ▼a [S.l.]: ▼b University of California, Los Angeles., ▼c 2018.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2018.
300 ▼a 100 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
500 ▼a Adviser: Andrea L. Bertozzi.
5021 ▼a Thesis (Ph.D.)--University of California, Los Angeles, 2018.
520 ▼a In 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
520 ▼a First, 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
520 ▼a Next, 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
520 ▼a Finally, 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
590 ▼a School code: 0031.
650 4 ▼a Applied mathematics.
650 4 ▼a Robotics.
650 4 ▼a Agricultural engineering.
690 ▼a 0364
690 ▼a 0771
690 ▼a 0539
71020 ▼a University of California, Los Angeles. ▼b Mathematics 0540.
7730 ▼t Dissertation Abstracts International ▼g 79-10B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0031
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998820 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 201812 ▼f 2019
990 ▼a ***1012033