Necessary and sufficient conditions for asymptotic swarm stability of high order swarm systems

2010 8th IEEE International Conference on Control and Automation, ICCA 2010

Volumn , Issue , 2010, Pages 1870-1875

  Cai, Ning ^a   Xi, Jianxiang ^a   Zhong, Yisheng ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH TOPOLOGY; HIGH ORDER; LTI SYSTEMS; NONLINEAR TIME VARYING SYSTEMS; STABILITY PROBLEM; SUFFICIENT CONDITIONS; SWARM SYSTEMS; TIME VARYING;

ASYMPTOTIC ANALYSIS; TIME VARYING SYSTEMS; TOPOLOGY;

SYSTEM STABILITY;

EID: 77957888085     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCA.2010.5524335     Document Type: Conference Paper

References (15)

1. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays", IEEE Trans. Automat. Contr., vol. 49, pp. 1520-1533, 2004.
2. W. Ren and R. W. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies", IEEE Trans. Automat. Contr., vol. 50, pp. 655-661, 2005.
3. L. Moreau, "Stability of multiagent systems with time-dependent communication links", IEEE Trans. Automat. Contr., vol. 50, pp. 169-182, 2005.
4. N. A. Lynch, Distributed Algorithms, San Mateo, CA: Morgan Kaufmann, 1997.
5. F. Xiao and L. Wang, "Consensus problems for high-dimensional multi-agent systems", J. Contr. Theoy. Applicat., vol. 1, pp. 830-837, 2007.
6. W. Ren, K. L. Moore, and Y. Chen, "High-order and model reference consensus algorithms in cooperative control of multi-vehicle systems", ASME J. Dynam. Syst. Meas. Contr., vol. 129, pp. 678-688, 2007.
7. P. Wieland, J. Kim, H. Scheu, and F. Allgower, "On consensus in multi-agent systems with linear high-order agents", in Proc. 17th IFAC World Congress, Seoul, Korea, Jul. 2008, pp.1541-1546.
8. J. Wang, D. Cheng, and X. Hu, "Consensus of multi-agent linear dynamic systems", Asian J. Contr., vol. 10, pp. 144-155, 2008.
9. Z. Li, Z. Duan, and L. Huang, "Leader-follower consensus of multi-agent systems", in Proc. American Control Conf., St. Louis, USA, Jun. 2009, pp. 3256-3261.
10. Z. Lin, B. Francis, and M. Maggiore, "On the state agreement problem for multiple nonlinear dynamical systems", in Proc. 16th IFAC World Congress, Prague, Czech, Jan. 2005.
11. D. Angeli and P. -A. Bliman, "Extension of a result by Moreau on stability of leaderless multi-agent systems", in Proc. Conf. Decision Control, Seville, Spain, Dec. 2005, pp. 759-764.
12. C. Godsil and G. Royle, Algebraic Graph Theory, Springer, 2000.
13. V. Gazi and K. M. Passino, "Stability analysis of swarms", IEEE Trans. Automat. Contr., vol. 48, pp. 692-697, 2003.
14. R. M. Zazworsky and H. K. Knudsen, "Controllability and observability of linear time-invariant compartmental models", IEEE Trans. Automat. Contr., vol. 23, pp. 872-877, 1978.
15. J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations", IEEE Trans. Automat. Contr., vol. 49, pp. 1465-1476, 2004.