Prescribed-Time Stabilization of Complex Networks With Intermittent Control

Abstract

This brief explores the prescribed-time stability (PTS) of complex networks (CNs) with aperiodically intermittent control (AIC). A time-varying function is introduced in the new AIC so that the system can converge within an arbitrary prescribed time. A Lyapunov function is proposed by introducing an auxiliary function satisfying some conditions to solve the problem of studying the PTS for CNs with AIC. Then, combined Lyapunov method with Kirchhoff’s matrix tree theorem, the stability criterion for ensuring that CNs with AIC achieve the PTS is obtained. Furthermore, an application to coupled oscillator networks (CONs) is given. Some simulations are shown to demonstrate the validity of the main results.