Consensus algorithms are input-to-state stable

Proceedings of the American Control Conference

Volumn 3, Issue , 2005, Pages 1686-1690

  Kingston, Derek B ^a   Ren, Wei ^a   Beard, Randal W ^a  

^a Brigham Young University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSENSUS ALGORITHMS; COOPERATION CONTROL PROBLEMS; COORDINATION ALGORITHMS; COORDINATION VARIABLES;

ALGORITHMS; COMPUTER SIMULATION; INFORMATION ANALYSIS; PROBLEM SOLVING; SYNCHRONIZATION; VEHICLES;

CONTROL SYSTEMS;

EID: 23944455433     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. A. Robertson, G. Inalhan, and J. P. How, "Formation control strategies for a separated spacecraft interferometer," in Proceedings of the American Control Conference, 1999.
2. R. W. Beard, J. Lawton, and F. Y. Hadaegh, "A coordination architecture for formation control," IEEE Transactions on Control Systems Technology, vol. 9, pp. 777-790, Nov. 2001.
3. D. B. Kingston and C. J. Schumacher, "Time-dependent cooperative assignment," in Proc. IEEE American Control Conference, 2005.
4. T. W. McLain and R. W. Beard, "Coordination variables, coordination functions, and cooperative timing missions," in Proc. IEEE American Control Conference, 2003.
5. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Transactions on Automatic Control, vol. 48, pp. 988-1001, June 2003.
6. L. Moreau, "Leaderless coordination via bidirectional and unidirectional time-dependent communication," in Proc. IEEE Conference on Decision and Control, 2003.
7. R. O. Saber and R. M. Murray, "Agreement problems in networks with directed graphs and switching topology," in Proc. IEEE Conference on Decision and Control, pp. 4126-4132, Dec. 2003.
8. Z. Lin, M. Broucke, and B. Francis, "Local control strategies for groups of mobile autonomous agents," in Proc. IEEE Conference on Decision and Control, pp. 1006-1011, 2003.
9. W. Ren, R. W. Beard, and D. B. Kingston, "Multi-agent Kalman consensus with relative uncertainty," in Proc. IEEE American Control Conference, 2005.
10. P. Chandler, S. Rasumussen, and M. Pachter, "UAV cooperative path planning," in Proc. AIAA Guidance, Navigation and Control Conference, 2000.
11. T. W. McLain and R. W. Beard, "Coordination variables, coordination functions, and cooperative timing missions," AIAA Journal of Guidance, Control, and Dynamics, vol. 28, pp. 150-161, Jan. 2005.
12. J. Bellingham, M. Tillerson, A. Richards, and J. P. How, "Multi-task allocation and path planning for cooperating UAVs," in Cooperative Control: Models, Applications and Algorithms, pp. 1-19, Conference on Coordination, Control and Optimization, Nov. 2001.
13. R. W. Beard, T. W. McLain, M. Goodrich, and E. P. Anderson, "Coordinated target assignment and intercept for unmanned air vehicles," IEEE Transactions on Robotics and Automation, vol. 18, pp. 911-922, Dec. 2002.
14. T. McLain and R. Beard, "Cooperative rendezvous of multiple unmanned air vehicles," in Proc. AIAA Guidance, Navigation and Control Conference, 2000.
15. W. Ren and R. W. Beard, "Consensus of information under dynamically changing interaction topologies," in Proc. IEEE American Control Conference, 2004.
16. J. Wolfowitz, "Products of indecomposable, aperiodic, stochastic matrices," Proceedings of the American Mathematical Society, vol. 15, pp. 733-736, 1963.
17. W. J. Rugh, Linear System Theory. Prentice Hall, 1996. Theorem 6.13, p. 106.
18. W. J. Rugh, Linear System Theory. Prentice Hall, 1996. Lemma 12.4, p. 206.
19. W. Ren, R. W. Beard, and T. W. McLain, Coordination Variables and Consensus Building in Multiple Vehicle Systems. Proceedings of the Block Island Workshop on Cooperative Control, Springer-Verlag Series: Lecture Notes in Control and Information Sciences, 2004.
20. R. Olfati-Saber and R. M. Murray, "Consensus protocols for networks of dynamic agents," in Proc. IEEE American Control Conference, 2003.
21. H. K. Khalil, Nonlinear Systems. Prentice Hall, 3 ed., 2002. Lemma 4.7, p. 180.