Fixed/preassigned-time synchronization for impulsive complex networks with mismatched parameters

This paper is concerned with the issue of fixed-time (FT) and preassigned-time (PT) synchronization of impulsive complex networks (ICNs) with mismatched parameters. Firstly, several more succinct condi-tions are established to achieve FT stability of impulsive systems and an improved estimation for the stable time is given. Subsequently, based on the improved FT stability results, the FT synchronization cri-teria for ICNs with mismatched parameters are proposed by designing fixed-time controllers without the linear part. Correspondingly, the PT synchronization problem is also considered by developing several innovative control protocols, where the synchronized time can be arbitrary predefined according to task demands and the control gains are bounded. Ultimately, the presented synchronization criteria are ver-ified by numerical simulation.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper addresses the synchronization problem of impulsive complex networks with mismatched parameters, focusing on fixed-time (FT) and preassigned-time (PT) synchronization. The research first establishes more succinct conditions to achieve FT stability of impulsive systems and provides an improved estimation for the stable time. Building upon the improved FT stability results, FT synchronization criteria for ICNs with mismatched parameters are proposed by designing fixed-time controllers without the linear part. Correspondingly, the PT synchronization problem is also considered by developing innovative control protocols. The presented synchronization criteria are validated through numerical simulation.