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Stability Analysis for Car Following Model Based on Control Theory
Authors:MENG Xiang-Pei  LI Zhi-Peng  GE Hong-Xia
Institution:1. Basic College, Ningbo Dahongying University, Ningbo 315175, China ; 2. College of Electronics and Information Engineering, Tongji University, Shanghai 200092, China; 3. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
Abstract:Stability analysis is one of the key issues in car-following theory. The stability analysis with Lyapunov function for the two velocity difference car-following model(for short, TVDM) is conducted and the control method to suppress traffic congestion is introduced. Numerical simulations are given and results are consistent with the theoretical analysis.
Keywords:traffic flow  two velocity difference car-following model  Lyapunov stability theory
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