Linear stability and nonlinear analyses of traffic waves for the general nonlinear car-following model with multi-time delays
暂无分享,去创建一个
[1] G. F. Newell. Nonlinear Effects in the Dynamics of Car Following , 1961 .
[2] Nakayama,et al. Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[3] Komatsu,et al. Kink soliton characterizing traffic congestion. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[4] K. Hasebe,et al. Analysis of optimal velocity model with explicit delay , 1998, patt-sol/9805002.
[5] Dirk Helbing,et al. GENERALIZED FORCE MODEL OF TRAFFIC DYNAMICS , 1998 .
[6] T. Nagatani,et al. Soliton and kink jams in traffic flow with open boundaries. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[7] R. Jiang,et al. Full velocity difference model for a car-following theory. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] D. Helbing. Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.
[9] T. Nagatani. The physics of traffic jams , 2002 .
[10] L. C. Davis,et al. Modifications of the optimal velocity traffic model to include delay due to driver reaction time , 2003 .
[11] Yu Xue,et al. Continuum traffic model with the consideration of two delay time scales. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[12] R. E. Wilson,et al. Global bifurcation investigation of an optimal velocity traffic model with driver reaction time. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] R. E. Wilson,et al. Bifurcations and multiple traffic jams in a car-following model with reaction-time delay , 2005 .
[14] Dirk Helbing,et al. Delays, inaccuracies and anticipation in microscopic traffic models , 2006 .
[15] Dirk Helbing,et al. Influence of Reaction Times and Anticipation on Stability of Vehicular Traffic Flow , 2007 .
[16] Gábor Stépán,et al. Traffic jams: dynamics and control , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[17] R. E. Wilson,et al. Car-following models: fifty years of linear stability analysis – a mathematical perspective , 2011 .
[18] Keqin Gu,et al. Stability and Stabilization of Systems with Time Delay , 2011, IEEE Control Systems.
[19] Siuming Lo,et al. Time-dependent Ginzburg–Landau equation in a car-following model considering the driver’s physical delay , 2011 .
[20] Tie-Qiao Tang,et al. A new car-following model accounting for varying road condition , 2012 .
[21] Shaowei Yu,et al. Full velocity difference and acceleration model for a car-following theory , 2013, Commun. Nonlinear Sci. Numer. Simul..
[22] Martin Treiber,et al. Traffic Flow Dynamics , 2013 .
[23] Jin-Liang Cao,et al. Nonlinear analysis of the optimal velocity difference model with reaction-time delay , 2014 .
[24] Tong Li,et al. A new car-following model with two delays , 2014 .
[25] Romain Billot,et al. Linear and Weakly Nonlinear Stability Analyses of Cooperative Car-Following Models , 2014, IEEE Transactions on Intelligent Transportation Systems.
[26] Hongxia Ge,et al. The time-dependent Ginzburg–Landau equation for car-following model considering anticipation-driving behavior , 2014 .
[27] Poonam Redhu,et al. Phase transition in a two-dimensional triangular flow with consideration of optimal current difference effect , 2014 .
[28] Dong Ngoduy,et al. Linear stability of a generalized multi-anticipative car following model with time delays , 2015, Commun. Nonlinear Sci. Numer. Simul..
[29] Hai-Jun Huang,et al. Analysis of the equilibrium trip cost without late arrival and the corresponding traffic properties using a car-following model , 2016 .
[30] Zhong-ke Shi,et al. An improved car-following model considering velocity fluctuation of the immediately ahead car , 2016 .
[31] Wei-Zhen Lu,et al. Nonlinear analysis of a new car-following model accounting for the optimal velocity changes with memory , 2016, Commun. Nonlinear Sci. Numer. Simul..
[32] Dong Ngoduy,et al. Enhanced cooperative car-following traffic model with the combination of V2V and V2I communication , 2016 .
[33] Gábor Orosz,et al. Robust Stability Analysis for Connected Vehicle Systems , 2016 .
[34] Hui Liu,et al. Analysis of traffic flow based on car-following theory: a cyber-physical perspective , 2016 .
[35] Rongjun Cheng,et al. An extended continuum model accounting for the driver's timid and aggressive attributions , 2017 .
[36] Yang Zheng,et al. Dynamical Modeling and Distributed Control of Connected and Automated Vehicles: Challenges and Opportunities , 2017, IEEE Intelligent Transportation Systems Magazine.
[37] Julien Monteil,et al. State-space linear stability analysis of platoons of cooperative vehicles , 2019 .