Synchronization of coupled nonlinear systems with time delay

2007 European Control Conference, ECC 2007

Volumn , Issue , 2007, Pages 3056-3061

  Yamamoto, Takashi ^a   Oguchi, Toshiki ^a   Nijmeijer, Henk ^b  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR SYSTEMS; SYNCHRONIZATION; TIMING CIRCUITS;

COUPLED NONLINEAR SYSTEMS; LYAPUNOV-KRASOVSKII THEOREM; PASSIVE SYSTEMS; SMALL GAIN THEOREM;

TIME DELAY;

EID: 84927722746     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2007.7068928     Document Type: Conference Paper

References (16)

1. S. H. Strogatz and I. Stewart, "Coupled oscillators and biological synchronization", Scientific American, 269, pp. 102-109, 1993.
2. S. H. Strogatz, "From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators", Physica D, 143, pp. 1-20, 2000.
3. C. M. Gray, "Synchronous oscillations in neuronal systems: mechanisms and functions", Journal of Computational Neuroscience, 1, pp. 11-38, 1994.
4. L. M. Pecora and T. L. Carroll: Synchronization in chaotic systems, Physical Review Letters, 64, pp. 821-824, 1990.
5. H. Nijmeijer and I. M. Y. Mareels: An Observer looks at synchronization, IEEE Trans. Circ. Systems I, 44, pp. 882-890, 1997
6. N. Chopra and M. W. Spong, "On synchronization of networked passive systems with time delays and application to bilateral teleoperation", in Proc. of the SICE Annual Conference, pp. 3424-3429, 2005.
7. A. Pogromsky, G. Santoboni and H. Nijmeijer, "Partial synchronization: from symmetry towards stability", Physica D, 172, pp. 65-87, 2002.
8. T. Oguchi and H. Nijmeijer, "Prediction of Chaotic Behavior", IEEE. Trans on Circuits & Systems-I: Regular Papers, Vol. 52, No. 11, pp. 2464-2472, 2005.
9. T. Oguchi and H. Nijmeijer,"Anticipating synchronization of nonlinear systems with uncertainties", in Proceedings of the 6th IFAC Workshop on Time Delay Systems, L'Aquila, Italy, 2006
10. H. Huijberts, H. Nijmeijer and T. Oguchi,"Anticipating synchronization of chaotic Lur'e systems",Chaos, 17,013117, 2007
11. M. Amano, Z. Luo and S. Hosoe, "Graph Topology and Synchronization of Network coupled dynamic systems with timedelay", Trans. of the Institute of Systems, Control and Information Engineers, Vol. 19, No. 6, pp. 241-249, 2006 (in Japanese).
12. E. Rossoni, Y. Chen, M. Ding and J. Feng, "Stability of synchronous oscillations in a system of Hodgkin-Huxley neurons with delayed diffusive and pulsed coupling", Physical Review E, 71, 061904, 2005.
13. V. Kolmanovskii and A. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer, 1999.
14. S. Xu and J. Lam, "Improved delay-dependent stability criteria for time-delay systems", IEEE Trans. on Automatic Control, Vol. 50, No 3, pp. 384-387, 2005.
15. K. Gu, V. L. Kharitonov and J. Chen, Stability of Time-Delay Systems, Birkh∞auser, 2003.
16. A. Isidori, Nonlinear control systems II, Springer, 1999.