Master–slave synchronization of electrocardiogram chaotic networks dealing with stochastic perturbance

Abstract

This study investigates the master–slave synchronization criteria for four-dimensional electrocardiogram (ECG) chaotic networks, focusing on the interconnecting electrical potentials in the sinoatrial and atrioventricular nodes. The model encompasses electrocardiograms from healthy hearts and those with known rhythm abnormalities such as atrial flutter, ventricular tachycardia, and ventricular flutter. For the first time, a state feedback controller is employed to address the master–slave synchronization problem of stochastic ECG chaotic networks (SECCNs) for both pathological and non-pathological heartbeats. We establish a sufficient condition based on a quadratic Lyapunov-Krasovskii functional, ensuring synchronization of the SECCNs to the desired state. Furthermore, we provide a numerical simulation to illustrate the theoretical findings.