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Synchronization of chaotic neural networks with mixed time delays. (English) Zbl 1221.93222
Summary: We investigate the synchronization problems of chaotic neural networks with mixed time delays. We first establish the sufficient conditions for synchronization of identical chaotic neural networks with mixed time delays via linear output feedback control. To overcome the difficulty that complete synchronization between nonidentical chaotic neural networks cannot be achieved only by utilizing output feedback control, we use a sliding mode control approach to study the synchronization of nonidentical chaotic neural networks with mixed time delays, where the parameters and functions are mismatched. Numerical simulations are carried out to illustrate the main results.

##### MSC:
 93D15 Stabilization of systems by feedback 37N35 Dynamical systems in control 34K20 Stability theory of functional-differential equations 37D45 Strange attractors, chaotic dynamics 34H10 Chaos control (ODE) 93C23 Systems governed by functional-differential equations
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