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Flocking estimates of the linear consensus models with a time-delay : 시간 지연을 가진 선형 콘센서스 모델들의 플로킹 예측
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 하승열 | - |
dc.contributor.author | 최인탁 | - |
dc.date.accessioned | 2017-07-19T08:59:00Z | - |
dc.date.available | 2017-07-19T08:59:00Z | - |
dc.date.issued | 2014-02 | - |
dc.identifier.other | 000000016847 | - |
dc.identifier.uri | https://hdl.handle.net/10371/131472 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2014. 2. 하승열. | - |
dc.description.abstract | In this thesis, we present the flocking dynamics for linear consensus models with a time-delay. Our linear consensus models include the special case of the Cucker-Smale flocking model with constant communication rates. For some linear consensus models, we provide explicit asymptotic value for velocity in terms of the initial data and constant time-delay and exponential convergence of velocity dynamics toward the asymptotic value. We also present several numerical simulations and compare them with analytical results. | - |
dc.description.tableofcontents | 1 Introduction
2 Preliminary 2.1 Brief introduction to delay dierential equations 2.2 Frame work and a priori estimates 2.3 Time-delayed communications and self-activations 3 A globally coupled linear consensus model 4 Locally coupled linear consensus models 4.1 A linear chain network 4.2 A star shape network 4.3 A nearest-neighbor interaction network 4.4 A rooted-leadership network 5 Numerical results thebibliography | - |
dc.format | application/pdf | - |
dc.format.extent | 1221951 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Cucker-Smale model | - |
dc.subject | linear consensus model | - |
dc.subject | delay differential equation | - |
dc.subject.ddc | 510 | - |
dc.title | Flocking estimates of the linear consensus models with a time-delay | - |
dc.title.alternative | 시간 지연을 가진 선형 콘센서스 모델들의 플로킹 예측 | - |
dc.type | Thesis | - |
dc.contributor.AlternativeAuthor | Intak Choi | - |
dc.description.degree | Master | - |
dc.citation.pages | 44 | - |
dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
dc.date.awarded | 2014-02 | - |
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