Delay-dependent passivity analysis of impulsive neural networks with time-varying delays

作者：Li, Liangliang; Jian, Jigui^*

来源：Neurocomputing, 2015, 168: 276-282.

DOI：10.1016/j.neucom.2015.05.098

• Passivity
• Impulsive neural networks
• Time-varying delays
• Lyapunov-Krasovskii functional
• Matrix inequality

This paper investigates delay-dependent passivity for a class of impulsive neural networks with bounded or unbounded time-varying delays. By applying Lyapunov-Krasovskii functional and matrix inequality approach, some new delay-dependent passivity conditions are proposed in terms of the full use of the conditions of neuron activation functions and involved time-varying delays. These passivity conditions are presented in accordance with matrix inequalities, which can be easily verified via standard numerical software. Meanwhile, the results derived here include the existing relative results on the passivity for neural networks without impulse effects as special cases and can also be extended to other neural networks with more complex impulse disturbance. Finally, two numerical examples with simulations are given to demonstrate the effectiveness of the proposed criteria.

• 出版日期2015-11-30
• 单位三峡大学