Abstract
The problem of projective lag synchronization of coupled neural networks with time delay is investigated. By means of the Lyapunov stability theory, an intermittent controller is designed for achieving projective lag synchronization between two delayed neural networks systems. Numerical simulations on coupled Lu neural systems illustrate the effectiveness of the results.
Highlights
In the past few years, synchronization of neural networks has been extensively investigated due to their successful application in many areas, such as communication, modeling brain activity, signal processing, and combinatorial optimization
To the best of the authors’ knowledge, few results for the projective lag synchronization of neural networks with time delay have been reported in the literature
‖e (t)‖2 = V (t) ≤ (V (t0)) exp (− (g1σ − g2 (1 − σ)) (t − σT)) . (22). This implies that the projective lag synchronization error system (7) is globally exponentially stable, and the following estimate holds:
Summary
In the past few years, synchronization of neural networks has been extensively investigated due to their successful application in many areas, such as communication, modeling brain activity, signal processing, and combinatorial optimization. In [10], the authors study the projective synchronization for different chaotic delayed neural networks via sliding mode control approach. To the best of the authors’ knowledge, few results (if any) for the projective lag synchronization of neural networks with time delay have been reported in the literature. We will deal with the analysis issue for projective lag synchronization of neural networks with time delay by intermittent control approach. By using Lyapunov stability theory and intermittent control technique, the intermittent controllers and corresponding parameter update rules are designed to obtain projective lag synchronization of neural networks.
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