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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 of systems with hyperbolic behavior
34H10 Chaos control for problems involving ordinary differential equations
93C23 Control/observation systems governed by functional-differential equations
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