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Title of Journal: J Cent South Univ

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Abbravation: Journal of Central South University

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Central South University

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DOI

10.1007/bf02023852

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2227-5223

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Detailed string stability analysis for bidirectio

Authors: Liang Zheng
Publish Date: 2015/04/12
Volume: 22, Issue: 4, Pages: 1563-1573
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Abstract

The class of bidirectional optimal velocity models can describe the bidirectional looking effect that usually exists in the reality and is even enhanced with the development of the connected vehicle technologies Its combined string stability condition can be obtained through the method of the ringroad based string stability analysis However the partial string stability about traffic fluctuation propagated backward or forward was neglected which will be analyzed in detail in this work by the method of transfer function and its H ∞ norm from the viewpoint of control theory Then through comparing the conditions of combined and partial string stabilities their relationships can make traffic flow be divided into three distinguishable regions displaying various combined and partial string stability performance Finally the numerical experiments verify the theoretical results and find that the final displaying string stability or instability performance results from the accumulated and offset effects of traffic fluctuations propagated from different directionsFoundation item Projects51108465 71371192 supported by the National Natural Science Foundation of China Project2014M552165 supported by China Postdoctoral Science Foundation Project20113187851460 supported by Technology Project of the Ministry of Transport of China

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