Quasi‐synchronization for complex networks under deception attacks via saturated impulsive control

Abstract This paper addresses the issue of saturated impulsive control for a class of dynamical networks with hybrid delays and unknown bounded disturbances that are susceptible to deception attacks. Achieving local exponential quasi‐synchronization is the objective. Physical networks are often restricted by saturation, making them more vulnerable to cyberattacks that can disrupt network performance. Unlike previous studies on saturated impulsive control, this paper fully considers the effect of deception attacks on saturated impulse by proposing a new constraint of set inclusion. Criteria for the local quasi‐synchronization problem are established using the Lyapunov method and the comparison principle of impulsive systems. Our results demonstrate that the error bounds for quasi‐synchronization are closely linked to the impulsive interval, time‐delay, intensity of external disturbances, and deception attacks. Finally, numerical simulations are conducted to validate the effectiveness of our proposed approach.