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Survey on the mean-field sparse optimal control and its application to flocking problem : 희소 평균장 최적 제어 및 플로킹 문제에 적용에 대한 조사

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dc.contributor.advisor하승열-
dc.contributor.author이동희-
dc.date.accessioned2017-07-19T09:02:03Z-
dc.date.available2017-07-19T09:02:03Z-
dc.date.issued2017-02-
dc.identifier.other000000142090-
dc.identifier.urihttps://hdl.handle.net/10371/131518-
dc.description학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2017. 2. 하승열.-
dc.description.abstractThis thesis reviews the basics, history and results on the sparse optimal control and sparse mean-field optimal control arising from the collective dynamics of multi-agent systems. We will go over from sparse optimal control, mean-field optimal control, and sparse mean-field optimal control, optimal control problem to flocking problems. Moreover we will introduce several examples for sparse mean-field optimal control problems in relation to flocking problems.-
dc.description.tableofcontents1 Introduction 1
2 Preliminaries 3
2.1 Optimal control theory 3
2.2 History of mean-eld sparse optimal control 9
3 Sparse Optimal Control of ODE in flocking problem 10
3.1 Sparse control of the Cucker-Smale model 11
3.1.1 The Cucker-Smale Model and its flocking 11
3.1.2 The Cucker-Smale model with sparse control 13
3.2 Sparse optimal control of Cucker-Smale model 17
4 Mean-field Sparse Optimal Control 20
4.1 Mean-field optimal control 21
4.1.1 Example: Opinion Consensus 27
4.2 Mean-eld Sparse Optimal Control 29
4.2.1 Example: Migration model 37
4.2.2 Cucker-Smale model with inter-particle bonding force 39
5 Conclusion 44
The bibliography 45
국문초록 48
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dc.formatapplication/pdf-
dc.format.extent2438587 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectoptimal control-
dc.subjectmean-field optimal control-
dc.subjectmean-field sparse optimal control-
dc.subjectflocking problem-
dc.subjectCucker-Smale model-
dc.subject.ddc510-
dc.titleSurvey on the mean-field sparse optimal control and its application to flocking problem-
dc.title.alternative희소 평균장 최적 제어 및 플로킹 문제에 적용에 대한 조사-
dc.typeThesis-
dc.contributor.AlternativeAuthorDonghee Lee-
dc.description.degreeMaster-
dc.citation.pages47-
dc.contributor.affiliation자연과학대학 수리과학부-
dc.date.awarded2017-02-
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