Extended robust global exponential stability for uncertain switched memristor-based neural networks with time-varying delays

• Published in: Applied mathematics and computation Vol. 325; pp. 271 - 290
• Main Authors: Li, Xiaoqing, She, Kun, Zhong, Shouming, Shi, Kaibo, Kang, Wei, Cheng, Jun, Yu, Yongbin
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.05.2018
• Subjects: Average dwell-time (ADT); Exponential stability; Stable and unstable subsystems; Uncertain switched neural networks (USNNs); Stable and unstable subsystems; Exponential stability; Uncertain switched neural networks (USNNs); Average dwell-time (ADT)
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2017.12.032

This paper is concerned with the problem of global exponential stability for uncertain memristive-based neural networks (UMNNs) with time-varying delays and switching parameters subject to unstable subsystems. Different from most of the existing papers, the considered uncertain switched MNNs with discrete-delays are modeled as switched neural networks (SNNs) with uncertain time-varying parameters. Based on multiple Lyapunov–Krasovskii functional (MLF) approach, average dwell time (ADT) technique and mode-dependent average dwell time (MDADT) method, some LMIs-based stability criteria are derived to design the switching signal and guarantee the exponential stability of the considered uncertain switched neural networks. By exploring the mode-dependent property of each subsystem, all the subsystems are categorized into stable and unstable ones. The concerned SNNs with both stable and unstable subsystems are more general and applicable than the existing models of SNNs only view all subsystems being stable, thus getting less conservatism criteria. The proposed sufficient conditions can be simplified into the forms of LMIs for conveniently using Matlab LMI toolbox. Finally, two numerical examples are exploited to demonstrate the effectiveness and applicability of the proposed theoretical results.