Dissipativity analysis of memristive inertial neural networks with time-varying and distributed delay via reduced order strategy

Abstract

This article explore the criteria of exponential dissipative for the Memristive Inertial Neural Networks(MINNs) with the time-varying and distributed delay. The theory of Filippov systems is employed for the discontinuous system of Inertial Neural Networks and a suitable Lyapunov functional is designed for the global exponential dissipativity. The variable substitution is employed for the Memristive Inertial Neural Networks to convert it into first order system and  the inequality techniques are used for the derivation of result. Furthermore, the bound of attractive sets and positive invariant sets are presented for the system. Finally, a numerical simulation is performed for the better clarification of derived result.