Researches On Stability And Solitary Waves Of Full Velocity Difference Model With Information Of Intelligent Prompt Speed Limit And Drivers' Responses

Under the environment with an intelligent traffic system,drivers adjust their vehicles' speed so as to ensure stability and safety of traffic,according to the prompted speed limit of the navigation system,their responses to the difference between vehicles' speed and the limited speed,and degree of familiarity with road conditions.There exist problems of many time-delays in drivers' response behaviors.Full velocity difference model(FVD)is a classical car-following traffic flow model which is consistent with actual traffic.In this dissertation,three new velocity difference models are introduced based on FVD model with consideration of information of intelligent prompt speed limit,driver's two time-delays of responses and familiarity with road conditions.The stability and solitary waves of these three new models are analyzed.The research contents are given as follows:Model one is a FVD model with the information of intelligent prompt speed limit.According to the method of linear stability analysis,the stability conditions of the model are derived.The enlarged stability region and precise stability results in three real cases are concluded.The nonlinear analysis of model one is performed by the reduced perturbation method,and solitary wave solutions and kink solutions of the model are derived.Model two is a FVD model with the information of intelligent prompt speed limit and driver's two time-delays of responses.The stability conditions of the model are derived,the enlarged stability region with the difference between two time-delays is concluded.Different nonlinear wave equations are derived in different regions by the reduced perturbation method,and the corresponding solitary wave solutions are given.Model three is a FVD model with the information of intelligent prompt speed limit,driver's two time-delays of responses and familiarity with the road condition.The stability conditions of the model are derived.The enlarged stability region with the difference between the driver's two time-delays and familiarity with the road is concluded.The corresponding solitary wave solutions are given.