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Zbl 1203.93110
Sun, Yonghui; Cao, Jinde
Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation. (English)
[J] Phys. Lett., A 364, No. 3-4, 277-285 (2007). ISSN 0375-9601

Summary: The adaptive lag synchronization issue of unknown chaotic delayed neural networks with noise perturbation is considered in detail. Via adaptive feedback control techniques, the suitable parameters update laws are proposed, then several sufficient conditions are derived to ensure lag synchronization of unknown delayed neural networks with or without noise perturbation. Moreover, some appropriate comparisons are made to contrast to some of existing results about complete synchronization of chaotic systems with or without noise perturbation. Then, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed adaptive scheme. Finally, the proposed adaptive feedback scheme is applied to the secure communication.

MSC 2000:: *93C40 Adaptive control systems
93B52 Feedback control
93B52 Feedback control
37D45 Strange attractors, chaotic dynamics
34H10

Keywords: adaptive lag synchronization; noise perturbation; mean square asymptotic stability; lasalle invariance principle; chaotic delayed neural networks; adaptive feedback control

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