Stability of a one-dimensional discrete-time asynchronous swarm

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 35, Issue 4, 2005, Pages 834-841

  Gazi, Veysel ^a,b   Passino, Kevin M ^a  

^a Ohio State University   (United States)

^b TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY   (Turkey)

Author keywords

Aggregation; Asynchronous motion; Cooperative coordination and control; Multiagent systems; Swarms

Indexed keywords

COMPUTER SIMULATION; CONTROL THEORY; MATHEMATICAL MODELS; MULTI AGENT SYSTEMS; SYSTEM STABILITY;

ASYNCHRONOUS MOTION; COOPERATIVE COORDINATION AND CONTROL; SWARM MODEL;

DISCRETE TIME CONTROL SYSTEMS;

ALGORITHM; ANIMAL; BIOLOGICAL MODEL; COMPUTER SIMULATION; EVALUATION; HUMAN; LETTER; MOVEMENT (PHYSIOLOGY); PHYSIOLOGY; POPULATION DYNAMICS; SIGNAL PROCESSING; SOCIAL BEHAVIOR;

ALGORITHMS; ANIMALS; COMPUTER SIMULATION; HUMANS; MODELS, BIOLOGICAL; MOVEMENT; POPULATION DYNAMICS; SIGNAL PROCESSING, COMPUTER-ASSISTED; SOCIAL BEHAVIOR;

EID: 24644499063     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2005.845393     Document Type: Article

References (22)

1. D. Grünbaum, "Schooling as a strategy for taxis in a noisy environment," Evolut. Ecol., vol. 12, no., pp. 503-522, 1998.
2. J. K. Parrish and W. M. Hamner, Eds., Animal Groups in Three Dimensions. Cambridge, U.K.: Cambridge Univ. Press, 1997.
3. E. Bonabeait, M. Dorigo, and G. Theraulaz, Swarm Intelligence: From Natural to Artificial Systems. Oxford, U.K.: Oxford Univ. Press, 1999.
4. R. Arkin, Behavior-Based Robotics. Cambridge, MA: MIT Press, 1998.
5. K. Jin, P. Liang, and G. Beni, "Stability of synchronized distributed control of discrete swarm structures," in Proc. IEEE Int. Conf. Robotics and Automation, San Diego, CA, May 1994, pp. 1033-1038.
6. J. Bender and R. Fenton, "On the flow capacity of automated highways," Transport. Sci., vol. 4, pp. 52-63, Feb. 1970.
7. D. Swaroop, "String stability of interconnected systems: An application to platooning in automated highway systems," Ph.D. thesis, Dept. Mech. Eng., Univ. California, Berkeley, CA, 1995.
8. S. Darbha and K. R. Rajagopal, "Intelligent cruise control systems and traffic flow stability," Transport. Res. C, vol. 7, pp. 329-352, 1999.
9. D. Swaroop, J. K. Hedrick, C. C. Chien, and P. Ioannou, "A comparison of spacing and headway control laws for automatically controlled vehicles," Veh. Syst. Dynam., vol. 23, pp. 597-625, 1994.
10. V. Gazi and K. M. Passino, "Stability analysis of swarms," IEEE Trans. Automat. Contr, vol. 48, no. 4, pp. 692-697, Apr. 2003.
11. V. Gazi and K. M. Passino, "A class of attraction/repulsion functions for stable swarm aggregations," in Proc. Conf. Decision Control, Las Vegas, NV, Dec. 2002, pp. 2842-2847.
12. V. Gazi and K. M. Passino, "Stability analysis of social foraging swarms," IEEE Trans. Syst., Man, Cybern. B, vol. 34, no. 1, pp. 539-557, Feb. 2004.
13. V. Gazi, "Swarm aggregations using artificial potentials and sliding mode control," in Proc. Conf. Decision Control., Maui, HI, Dec. 2003, pp. 2041-2046.
14. N. E. Leonard and E. Fiorelli, "Virtual leaders, artificial potentials and coordinated control of groups," in Proc. Conf. Decision Control, Orlando, FL, Dec. 2001, pp. 2968-2973.
15. R. Bachmayer and N. E. Leonard, "Vehicle networks for gradient descent in a sampled environment," in Proc. Conf. Decision Control, Las Vegas, NV, Dec. 2002, pp. 112-117.
16. Y. Liu and K. M. Passino, "Stable social foraging swarms in a noisy environment," IEEE Trans. Automat. Contr., vol. 49, no. 1, pp. 30-44, Jan. 2004.
17. G. Beni and P. Liang, "Pattern reconfiguration in swarms-Convergence of a distributed asynchronous and bounded iterative algorithm," IEEE Trans. Robot. Automat., vol. 12, no. 3, pp. 485-490, Jun. 1996.
18. Y. Liu, K. M. Passino, and M. M. Polycarpou, "Stability analysis of one-dimensional asynchronous swarms," IEEE Trans. Automat. Contr., vol. 48, no. 10, pp. 1848-1854, Oct. 2003.
19. Y. Liu, K. M. Passino, and M. M. Polycarpou, "Stability analysis of m-dimensional asynchronous swarms with a fixed communication topology," IEEE Trans. Automat. Contr., vol. 48, no. 1, pp. 76-95, Jan. 2003.
20. D. P. Bertsekas and J. N. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods. Belmont, MA: Athena Scientific, 1997.
21. V. Gazi and K. M. Passino, "Stability of a one-dimensional discrete-time asynchronous swarm," in Proc. Joint IEEE Int. Symp. Intelligent Control/IEEE Conf. Control Applications, Mexico City, Mexico, Sep. 2001, pp. 19-24.
22. R. S. Varga, Matrix Iterative Analysis, 2nd ed. Berlin, Germany: Springer-Verlag, 2000.