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Flocking estimates of the linear consensus models with a time-delay
시간 지연을 가진 선형 콘센서스 모델들의 플로킹 예측

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Authors
최인탁
Advisor
하승열
Major
자연과학대학 수리과학부
Issue Date
2014-02
Publisher
서울대학교 대학원
Keywords
Cucker-Smale modellinear consensus modeldelay differential equation
Description
학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2014. 2. 하승열.
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.
Language
English
URI
https://hdl.handle.net/10371/131472
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
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