Secure synchronisation of uncertain complex networks with deception attacks via impulsive control
Yang Liu, Lulu Li, Jinde Cao, Zhao-Dong Xu · International Journal of Systems Science · 2025
This paper addresses the secure synchronisation of uncertain complex networks (UCNs) under stochastic deception attacks (DAs) using a novel impulsive control strategy. We focus on DAs targeting sensor-to-controller communication channels, where attackers inject distinct false data with varying attack probabilities across different channels. To counter these attacks, we propose a novel secure impulsive controller and analyze the resulting bounded synchronisation dynamics. Through the integration of Lyapunov stability theory and average impulsive interval (AII) analysis, we establish sufficient conditions for achieving mean-square bounded synchronisation and derive the corresponding synchronisation bounds. The theoretical framework is comprehensively validated through numerical simulations, which demonstrate the efficacy of our proposed control approach in maintaining system performance under complex attack scenarios.