Synchronization of coupled harmonic oscillators in a dynamic proximity network

Automatica

Volumn 45, Issue 10, 2009, Pages 2286-2291

  Su, Housheng ^a   Wang, Xiaofan ^a   Lin, Zongli ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

Coupled harmonic oscillators; Distributed control; Multi agent systems; Synchronization

Indexed keywords

COMPLEX DYNAMICAL NETWORKS; COUPLED HARMONIC OSCILLATORS; DISTRIBUTED CONTROL; HARMONIC OSCILLATORS; NETWORK CONNECTIVITY; NUMERICAL SIMULATION; PROXIMITY NETWORKS; SYNCHRONIZATION PROBLEM; THEORETICAL RESULT;

COMPUTER SIMULATION; DISTRIBUTED PARAMETER CONTROL SYSTEMS; HARMONIC ANALYSIS; OSCILLATORS (MECHANICAL); SYNCHRONIZATION;

MULTI AGENT SYSTEMS;

EID: 70049090954     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.05.026     Document Type: Article

References (21)

1. Fujisaka H., and Yamada T. Stability theory of synchronized motion in coupled-oscillator systems. Progress of Theoretical Physics 69 (1983) 32-47
2. Godsil C., and Royle G. Algebraic graph theory. Graduate texts in mathematics Vol. 207 (2001), Springer, New York
3. Jadbabaie, A., Motee, N., & Barahona, M. (2004). On the stability of the Kuramoto model of coupled nonlinear oscillators. In Proceedings of the american control conference (pp. 4296-4301)
4. Khalil H.K. Nonlinear systems. Third ed. (2002), Prentice Hall, Upper Saddle River, New Jersey
5. Kuramoto Y. Chemical oscillations, waves and turbulence (1984), Springer, Berlin
6. Olfati-Saber R. Flocking for multi-agent dynamic systems: Algorithms and theory. IEEE Transactions on Automatic Control 51 (2006) 401-420
7. Papachristodoulou, A., & Jadbabaie, A. (2005). Synchronization in oscillator networks: Switching topologies and presence of nonhomogeneous delays. In Proc. of the 44th IEEE conference on decision and control (pp. 5692-5697)
8. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Physical Review Letters 64 (1990) 821-824
9. Ren W. Synchronization of coupled harmonic oscillators with local interaction. Automatica 44 (2008) 3195-3200
10. Ren W. On consensus algorithms for double-integrator dynamics. IEEE Transactions on Automatic Control 53 (2008) 1503-1509
11. Ren W., and Atkins E. Distributed multi-vehicle coordinated control via local information exchange. International Journal of Robust and Nonlinear Control 17 (2007) 1002-1033
12. Reynolds C.W. Flocks, herds, and schools: A distributed behavioral model. Computer Graphics, ACM SIGGRAPH 87 Conference Proceedings 21 (1987) 25-34
13. Su H., Wang X., and Chen G. A connectivity-preserving flocking algorithm for multi-agent systems based only on position measurements. International Journal of Control 82 (2009) 1334-1343
14. Su H., Wang X., and Lin Z. Flocking of multi-agents with a virtual leader. IEEE Transactions on Automatic Control 54 (2009) 293-307
15. Su H., Wang X., and Yang W. Flocking in multi-agent systems with multiple virtual leaders. Asian Journal of Control 10 (2008) 238-245
16. Tanner H.G., Jadbabaie A., and Pappas G.J. Flocking in fixed and switching networks. IEEE Transactions on Automatic Control 52 (2007) 863-868
17. Wang X. Complex networks: Topology, dynamics, and synchronization. International Journal of Bifurcation and Chaos 12 (2002) 885-916
18. Wang X., and Chen G. Synchronization in scale-free dynamical networks: Robustness and fragility. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications 49 (2002) 54-62
19. Wang X., and Chen G. Complex networks: Small-world, scale-free and beyond. IEEE Circuits and Systems Magazine 3 (2003) 6-20
20. Wu C.W. Synchronization in coupled chaotic circuits and systems (2002), World Scientific, Singapore
21. Xie G., and Wang L. Consensus control for a class of networks of dynamic agents. International Journal of Robust and Nonlinear Control 17 (2007) 941-959