Finite-time stability of multi-agent system in disturbed environment

Nonlinear Dynamics

Volumn 67, Issue 3, 2012, Pages 2009-2016

  Wang, Li ^a   Sun, Shiwen ^a   Xia, Chengyi ^a  

^a TIANJIN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Disturbed environment; Finite time stability; Formation; Multi agent system; Obstacle avoidance

Indexed keywords

DISTURBED ENVIRONMENT; FINITE TIME; FINITE TIME STABILITY; FINITE-TIME CONTROL; FORMATION; RELATIVE POSITIONS; STABILITY ANALYSIS;

COLLISION AVOIDANCE; STABILITY;

MULTI AGENT SYSTEMS;

EID: 84855819164     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0125-0     Document Type: Article

References (23)

1. Y. Hong 2002 Finite-time stabilization and stabilizability of a class of controllable systems Syst. Control Lett. 46 231 236 10.1016/S0167-6911(02)00119- 6 0994.93049 (Pubitemid 34660488)
2. Y. Hong J. Huang Y. Xu 2001 On an output feedback finite-time stabilization problem IEEE Trans. Autom. Control 46 305 309 10.1109/9.905699 0992.93075 1814578 (Pubitemid 32259333)
3. Wolfe, J.D., Chichka, D.F., Speyer, J.L.: Decentralized controllers for unmanned aerial vehicle formation flight. In: Proc. AIAA Conf. Guidance, Navigation, and Control 96-3833, San Diego, CA (1996)
4. Smith, T.R., Hanssmann, H., Leonard, N.E.: Orientation control of multiple underwater vehicles with symmetry-breaking potentials. In: Proc. IEEE Conf. Decision and Control, Orlando, FL, pp. 4598-4603 (2001) (Pubitemid 34144250)
5. J. Cortés F. Bullo 2005 Coordination and geometric optimization via distributed dynamical systems SIAM J. Control Optim. 44 1543 1574 10.1137/S0363012903428652 2193495
6. D. Swaroop J.K. Hedrick 1999 Constant spacing strategies for platooning in automated highway systems ASME J. Dyn. Syst. Meas. Control 121 462 470 10.1115/1.2802497 (Pubitemid 129684206)
7. R. Vidal O. Shakernia S. Sastry 2003 Formation control of nonholonomic mobile robots with omnidirectional visual servoing and motion segmentation Proc. - IEEE Int. Conf. Robot. Autom. 1 584 589
8. J.A. Fax R.M. Murray 2004 Information flow and cooperative control of vehicle formations IEEE Trans. Autom. Control 49 1465 1476 10.1109/TAC.2004. 834433 2086912
9. Paganini, F., Doyle, J.C., Low, S.H.: Scalable laws for stable network congestion control. In: Proc. IEEE Conf. Decision and Control, Orlando, FL, pp. 185-190 (2001) (Pubitemid 34138912)
10. J. Han M. Li L. Guo 2006 Soft control on collective behavior of group of autonomous agents by a shill agent J. Syst. Sci. Complex. 19 1 54 62 10.1007/s11424-006-0054-z 2231238 (Pubitemid 44432041)
11. A. Jadbabaie J. Lin A.S. Morse 2003 Coordination of groups of mobile autonomous agents using nearest neighbor rules IEEE Trans. Autom. Control 48 988 1001 10.1109/TAC.2003.812781 1986266
12. R. Olfati-Saber R.M. Murray 2004 Consensus problems in networks of agents with switching topology and time-delays IEEE Trans. Autom. Control 49 9 1520 1533 10.1109/TAC.2004.834113 2086916
13. J.A. Marshall M.E. Broucke B.A. Francis 2004 Formations of vehicles in cyclic pursuit IEEE Trans. Autom. Control 49 1963 1974 10.1109/TAC.2004.837589 2100774
14. R. Olfati-Saber 2006 Flocking for multi-agent dynamic systems: algorithms and theory IEEE Trans. Autom. Control 51 401 420 10.1109/TAC.2005.864190 2205679
15. H. Ando Y. Oasa I. Suzuki M. Yamashita 1999 Distributed memoryless point convergence algorithm for mobile robots with limited visibility IEEE Trans. Robot. Autom. 15 818 828 10.1109/70.795787 (Pubitemid 30514350)
16. Z. Yang Q. Zhang Z. Chen 2010 Flocking of multi-agents with nonlinear inner-coupling functions Nonlinear Dyn. 60 3 225 264 10.1007/s11071-009-9593-x 2645021
17. L. Wang Z. Chen Z. Liu Z. Yuan 2009 Finite time agreement protocol design of multi-agent systems with communication delays Asian J. Control 11 3 281 286 10.1002/asjc.104 2530419
18. J. Cortés 2006 Finite-time convergent gradient flows with applications to network consensus Automatica 42 1993 2000 10.1016/j.automatica. 2006.06.015 05152864 (Pubitemid 44436061)
19. Saber, R.O., Murray, R.M.: Flocking with obstacle avoidance: cooperations with limited communication in mobile networks. In: IEEE Conf. on Decision and Control, Maui, Hawaii, USA, pp. 2022-2028 (2003)
20. Tanner, H.: Flocking with obstacle avoidance in switching networks of interconnected vehicles. In: IEEE International Conference Robotics and Automation, New Orleans, LA, pp. 3006-3011 (2004)
21. Ogren, P., Leonard, N.E.: Obstacle avoidance in formation. In: IEEE International Conf. Robotics and Automation, Taipei, Taiwan, pp. 2492-2497 (2003)
22. Godsil, C., Royal, G.: Algebraic Graph Theory. Springer, New York (2001)
23. S.P. Bhat D.S. Bernstein 2003 Nontangency-based Lyapunov tests for convergence and stability in systems having a continuum of equilibra SIAM J. Control Optim. 42 1745 1775 10.1137/S0363012902407119 1078.34031 2046384