Fixed-time control of delayed neural networks with impulsive perturbations

• Main Authors: Jingting Hu, Guixia Sui, Xiaoxiao Lu, Xiaodi Li
• Format: Article
• Language: English
• Published: Vilnius University Press 2018-12-01
• Series: Nonlinear Analysis
• Subjects: fixed-time stability; delayed neural networks; impulsive perturbations; settling time; linear matrix inequality
• Online Access: http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13150

This paper is concerned with the fixed-time stability of delayed neural networks with impulsive perturbations. By means of inequality analysis technique and Lyapunov function method, some novel fixed-time stability criteria for the addressed neural networks are derived in terms of linear matrix inequalities (LMIs). The settling time can be estimated without depending on any initial conditions but only on the designed controllers. In addition, two different controllers are designed for the impulsive delayed neural networks. Moreover, each controller involves three parts, in which each part has different role in the stabilization of the addressed neural networks. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical analysis.