Adaptive Q-S (lag, anticipated, and complete) time-varying synchronization and parameters identification of uncertain delayed neural networks

Chaos

Volumn 16, Issue 2, 2006, Pages

  Yu, Wenwu ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745725686     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2204747     Document Type: Article

References (28)

1. Y. Yu and S. Zhang, "Adaptive backstepping synchronization of uncertain chaotic system," Chaos, Solitons Fractals 21, 643-649 (2004).
2. C. Wang and S. Ge, "Adaptive synchronization of uncertain chaotic systems via backstepping design," Chaos, Solitons Fractals 12, 1199-1206 (2001).
3. H. Fotsin, S. Bowong, and J. Daafouz, "Adaptive synchronization of two chaotic systems consisting of modified Van der Pol-Duffing and Chua oscillators," Chaos, Solitons Fractals 26, 215-229 (2005).
4. H. Lu, "Chaotic attractors in delayed neural networks," Phys. Lett. A 298, 109-116 (2002).
5. J. Zhou, T. Chen, and L. Xiang, "Robust synchronization of delayed neural networks on adaptive control and parameters identification," Chaos, Solitons Fractals 27, 905-913 (2006).
6. J. Cao, H. X. Li, and D. W. C. Ho, "Synchronization criteria of Lur'e systems with time-delay feedback control," Chaos, Solitons Fractals 23, 1285-1298 (2005).
7. H. B. Fotsin and P. Woafo, "Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification," Chaos, Solitons Fractals 24, 1363-1371 (2005).
8. S. Chen, J. Hu, C. Wang, and J. Lü, "Adaptive synchronization of uncertain Rössler hyperchaotic system based on parameter identification," Phys. Lett. A 321, 50-55 (2004).
9. H. B. Fotsin and J. Daafouz, "Adaptive synchronization of uncertain chaotic colpitts oscillators based on parameter identification," Phys. Lett. A 339, 304-315 (2005).
10. S. Chen and J. Lü, "Parameters identification and synchronization of chaotic systems based upon adaptive control," Phys. Lett. A 299, 353-358 (2002).
11. Z. Li and G. Chen, "Robust adaptive synchronization of uncertain dynamical networks," Phys. Lett. A 324, 166-178 (2004).
12. J. Park, "Adaptive synchronization of hyperchaotic Chen system with uncertain parameters," Chaos, Solitons Fractals 26, 959-964 (2005).
13. J. Cao and J. Wang, "Global asymptotic and robust stability of recurrent neural networks with time delays," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 52, 417-426 (2005).
14. J. Cao and J. Wang, "Absolute exponential stability of recurrent neural networks with time delays and Lipschitz-continuous activation functions," Neural Networks 17, 379-390 (2004).
15. Z. Yan, "A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems," Chaos 15, 013101 (2005).
16. Z. Yan, "Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems-A symbolic-numeric computation approach," Chaos 15, 023902 (2005).
17. D. Huang and R. Guo, "Identifying parameter by identical synchronization between different systems," Chaos 14, 152-159 (2004).
18. N. J. Corron, J. N. Blakely, and S. D. Pethel, "Lag and anticipating synchronization without time-delay coupling," Chaos 15, 023110 (2005).
19. M. Zhu and D. Armbruster, "Does synchronization of networks of chaotic maps lead to control?," Chaos 15, 014101 (2005).
20. W. Lin and Y. He, "Complete synchronization of the noise-perturbed Chua's circuits," Chaos 15, 023705 (2005).
21. T. L. Carroll, "Chaotic systems that are robust to added noise," Chaos 15, 013901 (2005).
22. J. J. Hopfild, "Neurons with graded response have collective computational properties like two-state neurons," Proc. Natl. Acad. Sci. U.S.A. 81, 3088-3092 (1984).
23. J. J. Hopfield, "Artificial neural networks," IEEE Circuits Devices Mag. 4, 3-10 (Sep. 1988).
24. W. Yu and J. Cao, "Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay," Nonlinear Anal. Theory, Methods Appl. 62, 141-165 (2005).
25. W. Yu and J. Cao, "Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays," Phys. Lett. A 351, 64-78 (2006).
26. L. O. Chua and L. Yang, "Cellular neural networks: theory," IEEE Trans. Circuits Syst. 35, 1257-1272 (1988).
27. B. Kosko, "Bi-directional associative memories," IEEE Trans. Syst. Man Cybern. 18, 49-60 (1988).
28. J. Cao and J. Lu, "Adaptive synchronization of neural networks with or without time-varying delays," Chaos 16, 013133 (2006).