Browse

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.advisor하승열-
dc.contributor.author최인탁-
dc.date.accessioned2017-07-19T08:59:00Z-
dc.date.available2017-07-19T08:59:00Z-
dc.date.issued2014-02-
dc.identifier.other000000016847-
dc.identifier.urihttps://hdl.handle.net/10371/131472-
dc.description학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2014. 2. 하승열.-
dc.description.abstractIn 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.tableofcontents1 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.formatapplication/pdf-
dc.format.extent1221951 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectCucker-Smale model-
dc.subjectlinear consensus model-
dc.subjectdelay differential equation-
dc.subject.ddc510-
dc.titleFlocking estimates of the linear consensus models with a time-delay-
dc.title.alternative시간 지연을 가진 선형 콘센서스 모델들의 플로킹 예측-
dc.typeThesis-
dc.contributor.AlternativeAuthorIntak Choi-
dc.description.degreeMaster-
dc.citation.pages44-
dc.contributor.affiliation자연과학대학 수리과학부-
dc.date.awarded2014-02-
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
Files in This Item:
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse