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Zbl 1243.93054
Gan, Qintao
Adaptive synchronization of Cohen-Grossberg neural networks with unknown parameters and mixed time-varying delays. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 3040-3049 (2012). ISSN 1007-5704

Summary: We investigate the synchronization problem of chaotic Cohen--Grossberg neural networks with unknown parameters and mixed time-varying delays. An adaptive linear feedback controller is designed to guarantee that the response system can be synchronized with a drive system by utilizing Lyapunov's stability theory and parameter identification. Our synchronization criteria are easily verified and do not need to solve any linear matrix inequality. These results generalize a few previous known results and remove some restrictions on amplification function and time delay. This research also demonstrates the effectiveness of application in secure communication. Numerical simulations are carried out to illustrate the main results.

MSC 2000:: *93C40 Adaptive control systems
93C15 Control systems governed by ODE
92B20 General theory of neural networks

Keywords: Cohen-Grossberg neural networks; synchronization; mixed time-varying delays; unknown parameters; adaptive control

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