Fixed-time pinning synchronization for delayed complex networks under completely intermittent control

The present study investigates the fixed-time synchronization issue for delayed complex networks under intermittent pinning control. Different from some existing semi-intermittent controllers for finite/fixed-time synchronization, our pinning controller is designed in a complete intermittent way. In order to address the encountered theoretical analysis difficulties, a new differential inequality lemma is developed, which is suitable for the fixed-time synchronization studies under periodic or aperiodic complete intermittent control. Then, by using Lyapunov theory and pinning control approach, sufficient conditions are proposed which can guarantee the aperiodically completely intermittent-controlled delayed complex networks realizing fixed-time pinning synchronization. Moreover, the settling time is explicitly estimated, which is irrelevant to the initial values of our network systems. Additionally, as a special case, the scenario of periodic complete intermittent control is also discussed. At last, some simulation examples are utilized to confirm our theoretical outcomes. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

The present study investigates the issue of fixed-time synchronization for delayed complex networks under intermittent pinning control. By developing a new differential inequality lemma and utilizing Lyapunov theory and pinning control approach, sufficient conditions are proposed to guarantee fixed-time pinning synchronization for intermittently controlled delayed complex networks. Additionally, the settling time is explicitly estimated, and the scenario of periodic complete intermittent control is also discussed.