Weak synchronization of chaotic neural networks with parameter mismatch via periodically intermittent control

Applied Mathematical Modelling

Volumn 35, Issue 2, 2011, Pages 612-620

  Zhang, Wei ^b   Huang, Junjian ^a,b   Wei, Pengcheng ^b  

^a CHONGQING UNIVERSITY   (China)

^b CHONGQING UNIVERSITY OF EDUCATION   (China)

Author keywords

Chaotic system; Intermittent control; Parameter mismatch; Synchronization

Indexed keywords

ANALYTICAL RESULTS; CHAOTIC NEURAL NETWORK; DETRIMENTAL EFFECTS; IDENTICAL SYSTEMS; INTERMITTENT CONTROLS; LARGE CLASS; LYAPUNOV STABILITY THEORY; NONZERO MEAN; NUMERICAL SIMULATION; PARAMETER MISMATCH; PARAMETER MISMATCHES; SUFFICIENT CONDITIONS; SYNCHRONIZATION ERROR;

NEURAL NETWORKS; STABILIZATION; SYNCHRONIZATION;

CHAOTIC SYSTEMS;

EID: 77956182338     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.07.009     Document Type: Article

References (20)

1. Ott E., Grebogi C., Yorke J.A. Controlling chaos. Rev. Lett. 1990, 64:1196-1199.
2. Parlitz U., et al. Transmission of digital signals by chaotic synchronization. Int. J. Bifur. Chaos Appl. Sci. Eng. 1992, 2:973-977.
3. Itoh M., Wu C.W., Chua L.O. Communication systems via chaotic signals from a reconstruction viewpoint. Int. J. Bifur. Chaos Appl. Sci. Eng. 1997, 7:275-286.
4. Bazhenov M., Huerta R., Rabinovich M.I., Sejnowski T. Cooperative behavior of a chain of synaptically coupled chaotic neurons. Phys. D 1998, 116:392-400.
5. Collins J.J., Stewart I.N. Coupled nonlinear oscillators and the symmetries of animal gaits. J. Nonlinear Sci. 1993, 3:349-392.
6. Rosenblum M.G., Pikovsky A.S., Kurths J. Phase synchronization of chaotic oscillators. Phys. Rev. Lett. 1996, 76:1804-1807.
7. Rulkov N.F., Sushchik M.M., Tsimring L.S., Abarbanel H.D.I. Generalized synchronization of chaos in directionally coupled chaotic systems. Phys. Rev. E 1995, 51:980-994.
8. Rosenblum M.G., Pikovsky A.S., Kurths J. From phase to lag synchronization in coupled chaotic oscillators. Phys. Rev. Lett. 1997, 78:4193-4196.
9. Pecora L.M., Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 1990, 64:821-824.
10. Pecora M., Carroll T.L. Master stability functions for synchronized coupled systems. Phys. Rev. Lett. 1998, 80:2109-2112.
11. Suykens J.A.K., Curran P.F., Vandewalle J., Chua L.O. Robust nonlinear H-infinite synchronization Lur'e systems. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 1997, 44:891-904.
12. Zhang Yu, Tao Chao, Du Gonghuan, Jiang Jack J. Parameter estimations of parametrically excited pendulums based on chaos feedback synchronization. J. Sound Vib. 2006, 290(3-5):1091-1099.
13. Li C.D., Liao X.F., Huang T.W. Chaos quasisynchronization induced by impulses with parameter mismatches. Chaos 2006, 16:023102.
14. Pyragas K. Predictable chaos in slightly perturbed unpredictable chaotic systems. Phys. Lett. A 1993, 181:203-210.
15. Huang T.W., Li C.D., Liao X.F. Synchronization of a class of coupled chaotic delayed systems with parameter mismatch. Chaos 2007, 17:033121.
16. Montgomery T.L., Frey J.W., Norris W.B. Intermittent control systems. Environ. Sci. Technol. 1975, 9(6):528-532.
17. Zochowski Michal Intermittent dynamical control. Phys. D 2000, 145:181-190.
18. Li C.D., Liao X.F., Huang T.W. Exponential stabilization of chaotic systems with delay by periodically intermittent control. Chaos 2007, 17:013103.
19. Boyd S., Ghaoui L., EI Feron E., Balakrishnan V. Linear Matrix Inequalities in System and Control Theory 1994, SIAM, Philadephia.
20. Shil'nikov L.P. Chua's circuit: rigorous results and future problems. Int. J. Bifur. Chaos Appl. Sci. Eng. 1999, 4:489-519.