Stability analysis of reaction-diffusion uncertain memristive neural networks with time-varying delays and leakage term

作者：Li, Ruoxia; Cao, Jinde^*

来源：Applied Mathematics and Computation, 2016, 278: 54-69.

DOI：10.1016/j.amc.2016.01.016

• Memristor
• Asymptotic stability
• Reaction-diffusion terms
• Leakage delay

In this paper, the stability problem is investigated for a class of reaction-diffusion uncertain memristive neural networks with time-varying delays and leakage term. To investigate the dynamic behavior of the memristive system, we turn to the qualitative analysis of a relevant differential inclusion tinder the framework of Filippov's solution, which is easier to handle. By using Lyapunov stability theory, Jensen integral inequality, Schur complement Lemma, free-weighting matrix approach together with the linear matrix inequality (LMI) approach, the sufficient conditions are derived to ensure the stability of the considered systems. The easy-to-test stability criteria established in this paper depend on the leakage delay as well as the reaction-diffusion terms, which is more reasonable. Moreover, the existing stability criteria can be treated as a special case of this paper. Finally, two numerical examples are exploited to show the effectiveness of the derived LMI-based stability conditions.

• 出版日期2016-3-31
• 单位东南大学