Circuit Implementation and Quasi-Stabilization of Delayed Inertial Memristor-Based Neural Networks.

Xin, Youming; Cheng, Zunshui; Cao, Jinde; Rutkowski, Leszek; Wang, Yaning · IEEE Trans Neural Netw Learn Syst · 2024

basic_science · Level V

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Abstract

In this brief, we consider the stability of inertial memristor-based neural networks with time-varying delays. First, delayed inertial memristor-based neural networks are modeled as continuous systems in the flux-current-voltage-time domain via the mathematical model of Hewlett-Packard (HP) memristor. Then, they are reduced to delayed inertial neural networks with interval parameters uncertainties. Quasi-equilibrium points and quasi-stability are proposed. Quasi-stability criteria of delayed inertial memristor-based neural networks are obtained by matrix measure method, the Halanay inequality, and uncertainty technologies. In the end, a numerical example is provided to show the validity of our results.