Robotic reactions: Delay-induced patterns in autonomous vehicle systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 2, 2010, Pages

  Orosz, Gábor ^a   Moehlis, Jeff ^a   Bullo, Francesco ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMOUS CRUISE CONTROL; AUTONOMOUS VEHICLES; CAR-FOLLOWING MODELS; CONTROL GAINS; DELAY DIFFERENTIAL EQUATIONS; FUNDAMENTAL DESIGN; NUMERICAL CONTINUATION; NUMERICAL SIMULATION; OPTIMAL VELOCITY MODEL; REACTION TIME; SHORT-WAVELENGTH; VEHICLE SYSTEM;

COMPUTER SIMULATION; CONTROL; DIFFERENTIAL EQUATIONS; ROBOTICS;

DELAY CONTROL SYSTEMS;

EID: 77249168286     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.025204     Document Type: Article

References (17)

1. R. E. Chandler, R. Herman, and E. W. Montroll, Oper. Res. 6, 165 (1958). 10.1287/opre.6.2.165
2. E. N. Holland, Transp. Res., Part B: Methodol. 32, 141 (1998). 10.1016/S0191-2615(97)00021-0
3. G. Stépán, Retarded Dynamical Systems (Longman, London, 1989).
4. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama, Phys. Rev. E 51, 1035 (1995). 10.1103/PhysRevE.51.1035
5. M. Bando, K. Hasebe, K. Nakanishi, and A. Nakayama, Phys. Rev. E 58, 5429 (1998). 10.1103/PhysRevE.58.5429
6. I. Gasser, G. Sirito, and B. Werner, Physica D 197, 222 (2004). 10.1016/j.physd.2004.07.008
7. G. Orosz and G. Stépán, Proc. R. Soc. London, Ser. A 462, 2643 (2006). 10.1098/rspa.2006.1660
8. G. Orosz, R. E. Wilson, R. Szalai, and G. Stépán, Phys. Rev. E 80, 046205 (2009). 10.1103/PhysRevE.80.046205
9. M. Treiber, A. Kesting, and D. Helbing, Physica A 360, 71 (2006). 10.1016/j.physa.2005.05.001
10. W. Michiels, C.-I. Morǎrescu, and S.-I. Niculescu, SIAM J. Control Optim. 48, 77 (2009). 10.1137/060671425
11. R. E. Wilson, Philos. Trans. R. Soc. London, Ser. A 366, 2017 (2008). 10.1098/rsta.2008.0018
12. A. Kesting, M. Treiber, M. Schönhof, and D. Helbing, Transp. Res., Part C: Emerg. Technol. 16, 668 (2008). 10.1016/j.trc.2007.12.004
13. A. Kesting and M. Treiber, Comput. Aided Civ. Infrastruct. Eng. 23, 125 (2008). 10.1111/j.1467-8667.2007.00529.x
14. D. Roose and R. Szalai, in Numerical Continuation Methods for Dynamical Systems, edited by, B. Krauskopf, H. M. Osinga, and, J. Galan-Vioque, (Springer, New York, 2007), pp. 359-399. 10.1007/978-1-4020-6356-5-12
15. G. Stépán, Int. J. Solids Struct. 38, 2149 (2001). 10.1016/S0020-7683(00)00158-X
16. R. M. Murray, J. Dyn. Syst., Meas., Control 129, 571 (2007). 10.1115/1.2766721
17. F. Bullo, J. Cortés, and S. Martínez, Distributed Control of Robotic Networks (Princeton University Press, Princeton, NJ, 2009).