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Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. (English) Zbl 1202.34128

Summary: We deal with the exponential synchronization problem for a class of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. The mixed delays in this paper include time-varying delays and unbounded distributed delays. By using a Lyapunov-Krasovskiĭ functional, a drive-response concept and a linear matrix inequality (LMI) approach, several sufficient conditions are established that guarantee the exponential synchronization of the neural networks. Also, the estimation gains can be easily obtained. Finally, a numerical example and its simulation are given to show the effectiveness of the obtained results.

MSC:

34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
92B20 Neural networks for/in biological studies, artificial life and related topics
93D15 Stabilization of systems by feedback
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