Stability Analysis for Memristor-Based Complex-Valued Neural Networks with Time Delays

In this paper, the problem of stability analysis for memristor-based complex-valued neural networks (MCVNNs) with time-varying delays is investigated extensively. This paper focuses on the exponential stability of the MCVNNs with time-varying delays. By means of the Brouwer’s fixed-point t...

Full description

Bibliographic Details
Main Authors: Ping Hou, Jun Hu, Jie Gao, Peican Zhu
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/2/120
Description
Summary:In this paper, the problem of stability analysis for memristor-based complex-valued neural networks (MCVNNs) with time-varying delays is investigated extensively. This paper focuses on the exponential stability of the MCVNNs with time-varying delays. By means of the Brouwer&#8217;s fixed-point theorem and <i>M</i>-matrix, the existence, uniqueness, and exponential stability of the equilibrium point for MCVNNs are studied, and several sufficient conditions are obtained. In particular, these results can be applied to general MCVNNs whether the activation functions could be explicitly described by dividing into two parts of the real parts and imaginary parts or not. Two numerical simulation examples are provided to illustrate the effectiveness of the theoretical results.
ISSN:1099-4300