Stabilization of complex networks under asynchronously intermittent event-triggered control

In this paper, we explore the input-to-state practically exponential stability of complex networks by designing asynchronous aperiodical intermittent dynamic event-triggered control (AAIDE-TC). Diverging from the existing literature, the form of intermittent control considered in this paper is asynchronous; that is, the intermittent control activation time of each node is different. Moreover, the average control rate for intermittent control is adopted, which is less conservative. More importantly, a Lyapunov function is constructed with the aid of an auxiliary function to overcome the difficulty of dealing with asynchronous aperiodical intermittent control. A dynamic variable and exponential function are then introduced into the AAIDE-TC strategy, playing an essential role in reducing eventtriggered frequency and enhancing resource utilization efficiency. Furthermore, the event-triggered frequency for each node is designed to be asynchronous. By resorting to the Lyapunov method and graph theory, this paper derives a criterion for the input-to-state practically exponential stability of complex networks. Finally, the above results are applied to oscillator systems, and numerical simulations are presented to demonstrate the feasibility of the obtained results. (c) 2023 Elsevier Ltd. All rights reserved.