Synchronization in networks of identical linear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 546-551

  Scardovi, Luca ^a   Sepulchre, Rodolphe ^b  

^a Princeton University   (United States)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; STATE SPACE METHODS;

COMMUNICATION GRAPHS; DECOUPLED SYSTEM; DYNAMIC OUTPUT FEEDBACK; INTERCONNECTION STRUCTURE; LINEAR TIME INVARIANT; STATE - SPACE MODELS; STATIC OUTPUT; UNSTABLE MODES;

SYNCHRONIZATION;

EID: 62949094976     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4738875     Document Type: Conference Paper

References (20)

1. L. Moreau, "Stability of multi-agent systems with time-dependent communication links," IEEE Trans. on Automatic Control, vol. 50, no. 2, pp. 169-182, 2005.
2. -, "Stability of continuous-time distributed consensus algorithms," in Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, 2004, pp. 3998-4003.
3. V. D. Blondel, J. M. Hendrickx, A. Olshevsky, and J. N. Tsitsiklis, "Convergence in multiagent coordination, consensus, and flocking," in Proceedings of the 44nd IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, 2005, pp. 2996-3000.
4. A. Jadbabaie, J. Lin, and S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Tran. on Automatic Control, vol. 48, pp. 988-1001, 2003.
5. R. Olfati-Saber and R. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. on Automatic Control, vol. 49, no. 9, pp. 1520-1533, 2004.
6. J. K. Hale, "Diffusive coupling, dissipation, and synchronization," Journal of Dynamics and Differential Equations, vol. 9, pp. 1-52, 1996.
7. Q.-C. Pham and J.-J. Slotine, "Stable concurrent synchronization in dynamic system networks," Neural Networks, vol. 20, no. 1, pp. 62-77, 2007.
8. G.-B. Stan and R. Sepulchre, "Analysis of interconnected oscillators by dissipativity theory," IEEE Transactions on Automatic Control, vol. 52, no. 2, pp. 256-270, 2007.
9. A. Pogromsky, "Passivity based design of synchronizing systems," Int. J. Bifurcation and Chaos, vol. 8, pp. 295-319, 1998.
10. L. Scardovi, A. Sarlette, and R. Sepulchre, "Synchronization and balancing on the N-torus," Systems and control Letters, vol. 56, no. 5, pp. 335-341, 2007.
11. R. Sepulchre, D. Paley, and N. Leonard, "Stabilization of planar collective motion with limited communication," IEEE Trans. on Automatic Control, 2007, accepted.
12. L. Scardovi, N. Leonard, and R. Sepulchre, "Stabilization of collective motion in three dimensions: A consensus approach," in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, La, 2007, pp. 2931-2936.
13. S. Nair and N. Leonard, "Stable synchronization of mechanical system networks," SIAM J. Control and Optimization, vol. 47, pp. 661-683, 2008.
14. A. Sarlette, R. Sepulchre, and N. Leonard, "Autonomous rigid body attitude synchronization," in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, La, 2007, pp. 2566-2571.
15. S. E. Tuna, "Synchronizing linear systems via partial-state coupling," Automatica, 2008, in press.
16. R. A. Horn, Topics in matrix analysis. New York, NY, USA: Cambridge University Press, 1986.
17. J. C. Willems, "Lyapunov functions for diagonally dominant systems," Automatica J. IFAC, vol. 12, pp. 519-523, 1976.
18. L. Scardovi and R. Sepulchre, "Synchronization in networks of identical linear systems," Automatica, 2008, submitted. [Online]. Available: http://www.citebase.org/abstract-id=oai:arXiv.org:0805.3456
19. M. Arcak, "Passivity as a design tool for group coordination," IEEE Transactions on Automatic Control, vol. 52, pp. 1380-1390, 2007.
20. D. Aeyels, R. Sepulchre, and J. Peuteman, "Asymptotic stability conditions for time-variant systems and its relation to observability," Mathematics of Control, Signals, and Systems, pp. 1-27, 1998.