Security synchronization of complex dynamical networks under deception and DoS attacks via self-triggered impulsive control with actuation delays

Abstract

This paper investigates security synchronization in complex dynamical networks (CDNs) using a self-triggered impulsive control (STIC) with actuation delays and a quantizer. 1) By integrating network topology and Lyapunov function theory, we introduce a new self-triggered mechanism (STM), unlike traditional computationally intensive STMs, which embeds a fixed dwell time to eliminate Zeno behavior and avoid continuous state monitoring, solving the delay-induced desynchronization issue ignored by existing STIC studies. 2) A logarithmic quantizer is fused with STM, reducing communication resource consumption compared to unquantized STIC, while ensuring low relative quantization error. 3)Global Asymptotic Stability in the Mean (GAS-M) synchronization criteria are derived via the Lyapunov method and graph theory, explicitly linking STM parameters, network topology, and attack intensities. 4) A numerical example of Chua’s circuits under deception attacks and denial-of-service (DoS) attacks is provided to demonstrate the effectiveness of the theoretical findings on GAS-M under random attacks.