Passivity and robust passivity of inertial memristive neural networks with time-varying delays via non-reduced order method.

Abstract

This study examines the concepts of passivity and robust passivity in inertial memristive neural networks (IMNNs) that feature time-varying delays. By using non-smooth analysis and the passivity theorem, algebraic criteria for both passivity and robust passivity are derived by using the non-reduced order method. The proposed criteria, based on the non-reduced order method, effectively reduce the complexity of derivation and computation, thereby simplifying the verification process. Furthermore, asymptotic stability criteria for IMNNs are established in relation to the passivity conditions. In conclusion, two numerical examples are provided to confirm the theoretical results.