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

• We study the passivity for a class of delayed impulsive neural networks.
• The time delays are multiple time-varying bound or unbound delays.
• Some novel delay-dependent criteria ensuring passivity are obtained.
• The passivity conditions are presented in terms of matrix inequalities.
• These results here generalize and improve the earlier publications.

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.