Global exponential stability for switched memristive neural networks with time-varying delays

作者：Xin, Youming; Li, Yuxia^*; Cheng, Zunshui; Huang, Xia

来源：Neural Networks, 2016, 80: 34-42.

DOI：10.1016/j.neunet.2016.04.002

• Memristive neural networks
• Switched system
• Average dwell time
• Exponential stability
• Linear matrix inequalities

This paper considers the problem of exponential stability for switched memristive neural networks (MNNs) with time-varying delays. Different from most of the existing papers, we model a memristor as a continuous system, and view switched MNNs as switched neural networks with uncertain time-varying parameters. Based on average dwell time technique, mode-dependent average dwell time technique and multiple Lyapunov-Krasovskii functional approach, two conditions are derived to design the switching signal and guarantee the exponential stability of the considered neural networks, which are delay-dependent and formulated by linear matrix inequalities (LMIs). Finally, the effectiveness of the theoretical results is demonstrated by two numerical examples.

• 出版日期2016-8
• 单位山东科技大学; 青岛科技大学