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A new control method to suppress traffic jams is proposed by considering headway of the front and rear. With the control signals or not the stability conditions are derived. It is shown that the vehicle speed fluctuation by the simulations disappears when the feedback control signals are introduced. Therefore, serious congestion will not occur in the system. Illustration shows that the feedback control signal can effectively suppress and alleviate the traffic congestion.
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Keywords:
- traffic flow /
- car-following model /
- control method
[1] Xue Y 2004 2004 Acta Phys. Sin. 53 25 (in Chinese) [薛郁 2004 物理学报 53 25]
[2] Tang T Q, Huang H J, Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥,黄海军, 薛郁 2006 物理学报55 4026]
[3] Tang T Q, Huang H J, Shang H Y 2010 Acta Phys. Sin. 59 6003 (in Chinese) [唐铁桥,黄海军,尚华艳 2010 物理学报 59 6003]
[4] Peng G H, Sun D H, He H P 2008 Acta Phys. Sin. 57 7541 (in Chinese) [彭光含, 孙棣华, 何恒攀 2008 物理学报 57 7541]
[5] Peng G H, Sun D H 2009 Chin. Phys. B 18 5420
[6] Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[7] Tang T Q, Huang H J, Gao Z Y, Wong S C 2007 Physica A 380 481
[8] Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[9] Tian H H, Xue Y, Kan S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4506]
[10] Bando M, Hasebe K, Nakayama A 1995 Phys. Rev. E 51 1035
[11] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[12] Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[13] Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁, 董力耘, 袁以武, 戴世强 2002 物理学报 51 492]
[14] Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Commun. Theor. Phys. 38 230
[15] Ge H X, Dai S Q, Dong L Y 2004 Phys. Rev. E 70 066134
[16] Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[17] Zhao X M, Gao Z Y 2006 Physica A 366 513
[18] Han X L, Jiang C Y, Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临, 姜长元, 葛红霞, 戴世强 2007 物理学报 56 4383]
[19] Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[20] Ge H X, Cheng R J, Li Z P 2011 Chin. Phys. B 20 080508
[21] Ge H X, Yu J, Lo S M 2012 Chin. Phys. Lett. 29 050502
[22] Ge H X, Meng X P, Ma J, Lo S M 2012 Phys. Lett. A 377 9
[23] Ge H X, Zhu H B, Dai S Q 2006 Eur. Phys. J. B 54 503
[24] Jia B, Jiang R, Wu Q S 2005 Physica A 348 544
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[1] Xue Y 2004 2004 Acta Phys. Sin. 53 25 (in Chinese) [薛郁 2004 物理学报 53 25]
[2] Tang T Q, Huang H J, Xue Y 2006 Acta Phys. Sin. 55 4026 (in Chinese) [唐铁桥,黄海军, 薛郁 2006 物理学报55 4026]
[3] Tang T Q, Huang H J, Shang H Y 2010 Acta Phys. Sin. 59 6003 (in Chinese) [唐铁桥,黄海军,尚华艳 2010 物理学报 59 6003]
[4] Peng G H, Sun D H, He H P 2008 Acta Phys. Sin. 57 7541 (in Chinese) [彭光含, 孙棣华, 何恒攀 2008 物理学报 57 7541]
[5] Peng G H, Sun D H 2009 Chin. Phys. B 18 5420
[6] Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[7] Tang T Q, Huang H J, Gao Z Y, Wong S C 2007 Physica A 380 481
[8] Li Z P, Liu Y C 2006 Chin. Phys. 15 1570
[9] Tian H H, Xue Y, Kan S J, Liang Y J 2009 Acta Phys. Sin. 58 4506 (in Chinese) [田欢欢, 薛郁, 康三军, 梁玉娟 2009 物理学报 58 4506]
[10] Bando M, Hasebe K, Nakayama A 1995 Phys. Rev. E 51 1035
[11] Helbing D, Tilch B 1998 Phys. Rev. E 58 133
[12] Jiang R, Wu Q S, Zhu Z J 2001 Phys. Rev. E 64 017101
[13] Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Acta Phys. Sin. 51 492 (in Chinese) [薛郁, 董力耘, 袁以武, 戴世强 2002 物理学报 51 492]
[14] Xue Y, Dong L Y, Yuan Y W, Dai S Q 2002 Commun. Theor. Phys. 38 230
[15] Ge H X, Dai S Q, Dong L Y 2004 Phys. Rev. E 70 066134
[16] Konishi K, Kokame H, Hirata K 1999 Phys. Rev. E 60 4000
[17] Zhao X M, Gao Z Y 2006 Physica A 366 513
[18] Han X L, Jiang C Y, Ge H X, Dai S Q 2007 Acta Phys. Sin. 56 4383 (in Chinese) [韩祥临, 姜长元, 葛红霞, 戴世强 2007 物理学报 56 4383]
[19] Shen F Y, Ge H X, Zhang H, Yu H M, Lei L 2009 Chin. Phys. B 18 4208
[20] Ge H X, Cheng R J, Li Z P 2011 Chin. Phys. B 20 080508
[21] Ge H X, Yu J, Lo S M 2012 Chin. Phys. Lett. 29 050502
[22] Ge H X, Meng X P, Ma J, Lo S M 2012 Phys. Lett. A 377 9
[23] Ge H X, Zhu H B, Dai S Q 2006 Eur. Phys. J. B 54 503
[24] Jia B, Jiang R, Wu Q S 2005 Physica A 348 544
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