Stability Analysis of Interconnected Nonlinear Systems Under Matrix Feedback

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2003, Pages 3078-3083

  Cremean, Lars B ^a   Murray, Richard M ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DECENTRALIZED CONTROL; FEEDBACK CONTROL; GRAPH THEORY; LAPLACE TRANSFORMS; LARGE SCALE SYSTEMS; MATRIX ALGEBRA; SYSTEM STABILITY;

GRID-LIKE INTERCONNECTION; INPUT-TO-STATE STABILITY;

NONLINEAR SYSTEMS;

EID: 1542543902     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. Béla Bollobás. Modern Graph Theory. Springer, 1998.
2. T. Chung, L. Cremean, W. B. Dunbar, Z. Jin, E. Klavins, D. Moore, A. Tiwari, D. van Gogh, and S. Waydo. A platform for cooperative and coordinated control of multiple vehicles: The Caltech multi-vehicle wireless testbed. In Proc. of the 3rd Conference on Cooperative Control and Optimization, 2002. To appear.
3. Lars Cremean, William B. Dunbar, David van Gogh, Jason Hickey, Eric Klavins, Jason Meltzer, and Richard M. Murray. The Caltech multi-vehicle wireless testbed. In Proc. of the 41st Conference on Decision and Control, pages 86-88, 2002.
4. R. D'Andrea. Robot soccer: A platform for systems engineering. Computers in Education Journal, 10(1):57-61, 2000.
5. J. Evans, G. Inalhan, J. Jang, R. Teo, and C. Tomlin. Dragonfly: A versatile UAV platform for the advancement of aircraft navigation and control. In Proceedings of the 20th Digital Avionics Systems Conference, 2001.
6. J. Alex Fax and Richard M. Murray. Graph Laplacians and vehicle formation stabilization. In Proc. of the 15th IFAC World Congress, 2002. Paper 2353.
7. P. Ferguson, T. Yang, M. Tillerson, and J. How. New formation flying testbed for analyzing distributed estimation and control architectures. In Proc. of the AIAA Guidance, Navigation, and Control Conference, 2002.
8. R. Fierro, P. Song, A. Das, and V. Kumar. Cooperative control of robot formations. Kluwer Series on Applied Optimization, March 2001. Submitted.
9. Roger A. Horn and Charles R. Johnson. Matrix Analysis. Cambridge University Press, 1985.
10. Roger A. Horn and Charles R. Johnson. Topics in Matrix Analysis. Cambridge University Press, 1989.
11. Reza Olfati-Saber. Lecture 6 notes, CDS 270 (Coordination of Multivehicle Systems). Available as CDS Technical Report xx-xxx, Fall 2002.
12. Reza Olfati-Saber and Richard M. Murray. Distributed structural stabilization and tracking for formations of multiple dynamic agents. In Proc. of the 41st Conference on Decision and Control, pages 209-215, 2002.
13. Reza Olfati-Saber and Richard M. Murray. Graph rigidity and distributed formation stabilization of multi-vehicle systems. In Proc. of the 41st Conference on Decision and Control, pages 2965-2971, 2002.
14. Aniruddha Pant, Pete Seiler, and Karl Hedrick. Mesh stability of look-ahead interconnected systems. IEEE Transactions on Automatic Control, 47(2):403-407, 2002.
15. A. Stubbs, V. Vladimerou, A. Vaughn, and G. Dullerud. Development of a vehicle network control testbed. In Proc. of the 2002 American Controls Conference, 2002.
16. D. Swaroop and J. K. Hedrick. String stability of interconnected systems. IEEE Transactions on Automatic Control, 41(3):349-357, 1996.
17. Herbert G. Tanner, George J. Pappas, and Vijay Kumar. Input-to-state stability on formation graphs. In Proc. of the 41st Conference on Decision and Control, pages 2439-2444, 2002.