A synchronization condition for coupled nonlinear systems with time-delay -a circle criterion approach-

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 2, Issue PART 1, 2009, Pages 256-261

  Oguchi, Toshiki ^a   Nijmeijer, Henk ^b   Tanaka, Noriko ^a  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Absolute stability; Chaos synchronization; The circle criterion; Time delay

Indexed keywords

CHAOTIC SYSTEMS; FREQUENCY DOMAIN ANALYSIS; SYNCHRONIZATION; TIMING CIRCUITS;

ABSOLUTE STABILITY; CHAOS SYNCHRONIZATION; CIRCLE CRITERION; COUPLED NONLINEAR SYSTEMS; FREQUENCY DOMAIN CONDITIONS; LYAPUNOV-KRASOVSKII APPROACH; MULTIPLE INPUTS AND OUTPUTS; SYNCHRONIZATION PROBLEM;

TIME DELAY;

EID: 79960959741     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20090622-3-uk-3004.00049     Document Type: Conference Paper

References (17)

1. Amano, M., Luo, Z., and Hosoe, S. (2006). Graph topology and synchronization of network coupled dynamic systems with time-delay. Trans. of the ISCIE, 19(6), 241-249. (in Japanese)
2. Bliman, P.A. (2000). Extension of Popov absolute stability criterion to non-autonomous systems with delays. International Journal of Control, 73(15), 1349-1361.
3. Cruz, C. and Nijmeijer, H. (2000). Synchronization through filtering. International Journal of Bifurcation and Chaos, 10(4), 763-775.
4. Fujisaka, H. and Yamada, T. (1983). Stability theory of synchronized motion in coupled-oscillator systems. Progress in Theoretical Physics, 69(1), 821-825.
5. Gao, H., Lam, J., and Chen, G. (2006). New criteria for synchronization stability of general complex dynamical networks with coupling delays. Physical Letters A, 360, 263-273. (Pubitemid 44647562)
6. Huijberts, H., Nijmeijer, H., and Oguchi, T. (2007). Anticipating synchronization of chaotic Lur'e systems. Chaos, 17(013117
7. Li, C. and Chen, G. (2004). Synchronization in general complex dynamical networks with coupling delays. Physica A, 343, 263-278.
8. Nijmeijer, H. and Mareels, I.M.Y. (1997). An observer looks at synchronization. IEEE Transactions on. Circuits & Systems I, 44, 882-890. (Pubitemid 127768190)
9. Nijmeijer, H. and Rodriguez-Angeles, A. (2003). Synchronization of Mechanical Systems. World Scientific.
10. Oguchi, T. and Nijmeijer, H. (2005). Prediction of chaotic behavior. IEEE Trans. on Circuits and Systems I: Regular Papers, 52(11), 2646-2472.
11. Oguchi, T., Nijmeijer, H., and Yamamoto, T. (2008) Synchronization in networks of chaotic systems with time-delay coupling. Chaos, 18. Article no. 037108.
12. Pecora, L.M. and Carroll, T.L. (1990). Synchronization in chaotic systems. Physical Review Letters, 64(8), 821-824.
13. Pikovsky, A., Rosenblum, M., and Kurths, J. (2001). Synchronization - A universal concept in nonlinear sciences, volume 12 of Combridge Nonlinear Science Series. Cambridge University Press.
14. Popov, V. (1961). Absolute stability of nonlinear systems of automatic control. Automation and Remote Control, 22, 857-875.
15. Popov, V. and Halanay, A. (1962). On the stability of nonlinear automatic control systems with lagging argument. Automation and Remote Control, 23, 783-786.
16. Wu, C.W. (2002). Synchronization in Coupled Chaotic Circuits and Systems. World Scientific Publisher.
17. Wu, J. and Jiao, L. (2008). Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers. Physica A, 387, 2111-2119.