Secure Synchronization of Complex Dynamic Networks via Adaptive Event-Triggered Control Against Dual-Channel Cyber Threats

This article develops an adaptive event-triggered control (AETC) scheme for achieving global synchronization in discrete-time complex dynamical networks (CDNs) subject to Markovian switching with partially unknown transition probabilities (TPs). The study establishes an enhanced CDNs model that simultaneously accounts for nonlinear dynamics, time-varying delays, and probabilistic switching uncertainties. A novel resilient control architecture is designed to mitigate dual-channel cyber threats, including Bernoulli-distributed denial-of-service (DoS) attacks and deception attacks occurring in both sensor-to-controller and controller-to-actuator communication links. The proposed AETC mechanism introduces dynamically adjustable triggering thresholds that respond to both network state variations and attack intensity levels. Through the construction of advanced Lyapunov-Krasovskii functionals, delay-dependent stability conditions are derived, culminating in tractable linear matrix inequality (LMI) formulations for synchronization and explicit controller synthesis. Numerical results demonstrate superior performance in communication efficiency and attack resilience.