Abstract
This article mainly discusses the global exponential stabilization of a class of memristor-based neural networks (MNNs) with unbounded time-varying delays. In this article, a new approach without constructing any Lyapunov–Krasovskii functional is proposed to derive the global exponential stabilization criterion containing only a few simple inequalities. This approach is based on the representation of the system solution, which can derive simpler criteria than the existing approaches. In addition, this approach does not limit the range of the derivative of the unbounded time-varying delay, which implies that the stabilization criterion obtained is weaker conservative. Finally, two numerical examples are employed to demonstrate the effectiveness of the approach.
Highlights
D URING the last decades, the neural network has been gradually applied in numerous different areas, such as controller design [1], image processing [2], pattern recognition [3], etc
It is essential to explore a new approach to research on the global exponential stabilization of memristorbased neural networks (MNNs) (GESMNNs) with unbounded time-varying delays
Under the influence of the above analysis, this paper aims at investigating the GESMNNs with unbounded time-varying delays
Summary
D URING the last decades, the neural network has been gradually applied in numerous different areas, such as controller design [1], image processing [2], pattern recognition [3], etc. Numerous excellent results have recently been achieved related to the delayed neural networks stability analysis [6]– [9]. It is essential to explore a new approach to research on the global exponential stabilization of MNNs (GESMNNs) with unbounded time-varying delays. Under the influence of the above analysis, this paper aims at investigating the GESMNNs with unbounded time-varying delays. To this end, a representation of system solutions is presented, and thereby a new stabilization approach is VOLUME 4, 2016. The main advantages of this article are as below: (i) it is the first time that a approach based on the representation of the system solutions is proposed; and (ii) on the premise of without any limitation on the timevarying delay derivative, it is the first time that GESMNNs with unbounded time-varying delays is obtained
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