Stability analysis of dynamic collaboration model with control signals on two lanes |
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| Institution: | 1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China;2. Department of Information Technology, Hunan Women’s University, Changsha, Hunan 410004, PR China;1. Department of Mathematics, Linyi University, Linyi, Shandong 276005, PR China;2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, PR China;2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China |
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| Abstract: | In this paper, the influence of control signals on the stability of two-lane traffic flow is mainly studied by applying control theory with lane changing behaviors. We present the two-lane dynamic collaboration model with lateral friction and the expressions of feedback control signals. What is more, utilizing the delayed feedback control theory to the two-lane dynamic collaboration model with control signals, we investigate the stability of traffic flow theoretically and the stability conditions for both lanes are derived with finding that the forward and lateral feedback signals can improve the stability of traffic flow while the backward feedback signals cannot achieve it. Besides, direct simulations are conducted to verify the results of theoretical analysis, which shows that the feedback signals have a significant effect on the running state of two vehicle groups, and the results are same with the theoretical analysis. |
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| Keywords: | Dynamic collaboration model Stability Feedback signals Control theory |
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