Synchronization of non-identical chaotic delayed fuzzy cellular neural networks based on sliding mode control

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 1, 2012, Pages 433-443

  Gan, Qintao ^a   Xu, Rui ^a   Yang, Pinghua ^a  

^a MECHANICAL ENGINEERING COLLEGE   (China)

Author keywords

Fuzzy cellular neural networks; Lyapunov Krasovskii functional; Sliding mode control; Synchronization

Indexed keywords

CELLULAR NEURAL NETWORKS; FUZZY INFERENCE; FUZZY NEURAL NETWORKS; LYAPUNOV FUNCTIONS; SLIDING MODE CONTROL; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

CHAOTIC NEURAL NETWORK; CHAOTICS; COMPLETE SYNCHRONIZATION; FUZZY CELLULAR NEURAL NETWORKS; LYAPUNOV-KRASOVSKII'S FUNCTIONAL; NETWORK-BASED; NON-IDENTICAL; SLIDING-MODE CONTROL; SYNCHRONIZATION PROBLEM; TIME-VARYING DELAY;

SYNCHRONIZATION;

EID: 79961126660     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.05.014     Document Type: Article

References (28)

1. Astakhov V., Hasler M., Kapitaniak T., Shabunin A., Anishchenko V. Effect of parameter mismatch on the mechanism of chaos synchronization loss in coupled systems. Phys Rev E 1998, 58:5620-5628.
2. Ayrulu B., Barshan B. Neural networks for improved target differentiation and localization with sonar. Neural netw 2001, 14:355-373.
3. Bohko I., Fridman L. Analysis of chattering in continuous sliding-mode controllers. IEEE Trans Automat Control 2005, 50:1442-1446.
4. Cao J. Stability conditions for delayed CNNs. IEEE Trans Circ Syst I 2001, 48:1330-1333.
5. Chen L., Zhao H. Stability analysis of stochastic fuzzy cellular neural networks with delays. Neurocomputing 2008, 72:436-444.
6. Chua L.O., Yang L. Cellular neural networks: theory. IEEE Trans Circ Syst 1988, 35:1257-1272.
7. Chua L.O., Yang L. Cellular neural networks: applications. IEEE Trans Circ Syst 1988, 35:1273-1290.
8. Ding W. Synchronization of delayed fuzzy cellular neural networks with impulsive effects. Commun Nonlinear Sci Numer Simulat 2009, 14:3945-3952.
9. Ding W., Han M. Synchronization of delayed fuzzy cellular neural networks based on adaptive control. Phys Lett A 2008, 372:4674-4681.
10. Falahpoor M., Ataei M., Kiyoumarsi A. A chattering-free sliding mode control design for uncertain chaotic systems. Chaos Solitons Fract 2009, 42:1755-1765.
11. Gan Q., Xu R., Yang P. Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays and reaction-diffusion terms. Neural Process Lett 2010, 32:45-57.
12. Huang T., Huang Y., Li C. Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays. Neurocomputing 2008, 71:3064-3069.
13. Leung H., Zhu Z. Time-varying synchronization of chaotic systems in the presence of system mismatch. Phys Rev E 2004, 69:026201.
14. Li C., Liao X., Wong K. Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Physica D 2004, 194:187-202.
15. Mensour B., Longtin A. Synchronization of delay-differential equations with application to private communication. Phys Lett A 1998, 244:59-70.
16. Niu S., Jiang H., Teng Z. Exponential stability and periodic solutions of FCNNs with variable coefficients and time-varying delays. Neurocomputing 2008, 71:2929-2936.
17. Utkin VI. Sliding Modes in Control and Optimization 1992, Springer, Berlin.
18. Wang J., Lu J. Global exponential stability of fuzzy cellular neural networks with delays and reaction-diffusion terms. Chaos Solitons Fract 2008, 38:878-885.
19. Wang L., Ding W., Chen D. Synchronization schemes of a class of fuzzy celullar neural networks based on adaptive control. Phys Lett A 2010, 374:1440-1449.
20. Wang S., Wang M. A new detection algorithm (NDA) based on fuzzy cellular neural networks for white blood cell detection. IEEE Trans Inf Technol Biomed 2006, 10:5-10.
21. Wang S, Fu D, Xu M, Hu D. Applying Advanced Fuzzy Cellular Neural Network AFCNN to Segmentation of Serial CT Liver Images. In: Proceedings of ICNC, 2005, p. 1128-1131.
22. Wu C., Chua LO. A unified framework for synchronization and control of dynamical systems. Int J Bifur Chaos 1994, 4:979-989.
23. Xia Y., Yang Z., Han M. Lag synchronization of unknown chaotic delayed Yang-Yang-Type fuzzy neural networks with noise perturbation based on adaptive control and parameter identification. IEEE Trans Neural Netw 2009, 20:1165-1180.
24. Yang T, Yang L, Wu C, Chua LO. Fuzzy cellular neural networks: theory. In: Proceedings of IEEE International Workshop on Cellular Neural Networks and Applications, 1996, p. 181-186.
25. Yang T, Yang L, Wu C, Chua LO. Fuzzy cellular neural networks: applications. In: Proceedings of IEEE International Workshop on Cellular Neural Networks and Applications, 1996, p. 225-230.
26. Yang T., Yang L. The global stability of fuzzy neural network. IEEE Trans Circuits Syst I 1996, 43:880-883.
27. Yang H., Sheng L. Robust stability of uncertain stochastic fuzzy cellular neural networks. Neurocomputing 2006, 69:1619-1627.
28. Yuan K., Cao J., Deng J. Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays. Neurocomputing 2009, 73:133-138.