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Global Exponential Synchronization of Memristive Competitive Neural Networks with Time-Varying Delay via Nonlinear Control

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This paper investigates the synchronization problem of memristive competitive neural networks (MCNNs) with time-varying delay. Firstly, a novel nonlinear controller with a linear diffusive term and a discontinuous sign function… Click to show full abstract

This paper investigates the synchronization problem of memristive competitive neural networks (MCNNs) with time-varying delay. Firstly, a novel nonlinear controller with a linear diffusive term and a discontinuous sign function term is introduced. Then, by using this controller, several sufficient conditions for global exponential synchronization of MCNNs are presented based on Lyapunov stability theory and some inequality techniques. Finally, two illustrative examples are provided to substantiate the effectiveness of the obtained theoretical results.

Keywords: neural networks; time varying; competitive neural; varying delay; memristive competitive; synchronization

Journal Title: Neural Processing Letters
Year Published: 2018

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