Prescribed performance synchronization for time‐delayed complex dynamical networks under event‐triggered pinning control

Abstract

In this article, a new event‐based pinning synchronization control strategy for complex dynamical networks with internal delay and transmission delay is investigated. By introducing prescribed performance control schemes, the transient and steady performance of synchronization errors are guaranteed simultaneously. The main results in the article show that, not only exponential synchronization is achieved, but also the transient bounded of synchronization errors is guaranteed based on Lyapunov approach. Furthermore, an efficient event‐based mechanism is derived to avoid the infinitely fast switching of the pinning node set. We also develop a new selection‐algorithm to find certain suitable nodes to be controlled and these selected nodes will be updated online at each triggering instant. At last, the simulation examples are made to demonstrate the effectiveness and superiority of the obtained results.

Robust adaptive control for spacecraft attitude synchronization subject to external disturbances: A performance adjustable event‐triggered mechanism

“…Reference 33 studied the existence of Zeno behavior in event‐triggering multiagent systems aiming for achieving finite‐time consensus. References 34,35 designed event‐triggering control for multiagent systems with prescribed system convergence performance. These works studied event‐triggering control strategies to improve these two types of system performance.…”

Event‐triggered fault estimation and nonfragile synchronization control for multiweighted complex dynamical networks with deception attacks

“…Indeed, the CDN dynamics have been studied by many researchers and fruitful results have been published. [4][5][6] Especially, the synchronization problem, has become a focus due to its wide application in traffic systems, smart grids, and multiagent systems. [7][8][9] Consequently, many excellent results have been reported on the synchronization of CDNs.…”

“…The CDN models are large networks consisting of a group of coupled nodes, and each node defines its own dynamic behaviors. Indeed, the CDN dynamics have been studied by many researchers and fruitful results have been published 4‐6 . Especially, the synchronization problem, has become a focus due to its wide application in traffic systems, smart grids, and multiagent systems 7‐9 .…”