Impulsive Intralayer and Interlayer Quasi-Synchronization Control in Multiplex Networks Under Deception Attacks

Area of Science:

• Complex Networks
• Control Theory
• Cybersecurity

Background:

• Multiplex networks exhibit complex interactions across multiple layers.
• Deception attacks pose significant threats to network synchronization and stability.
• Understanding network behavior under adversarial conditions is crucial for robust system design.

Purpose of the Study:

• To investigate quasi-synchronization in multiplex networks under deception attacks.
• To propose a novel model accounting for intralayer and interlayer deception attacks.
• To develop an impulsive control strategy to achieve desired synchronization states.

Main Methods:

• Development of a new multiplex network model incorporating deception attacks.
• Design of an impulsive controller for nodal state adjustment.
• Application of Lyapunov function and average impulsive interval methods for analysis.

Main Results:

• Sufficient conditions derived for interlayer and intralayer quasi-synchronization.
• Conditions established for achieving complete quasi-synchronization in the network.
• Validation of theoretical findings through three numerical examples.

Conclusions:

• The proposed impulsive control strategy effectively achieves quasi-synchronization in multiplex networks under deception attacks.
• The study provides a theoretical framework for analyzing and securing complex network systems against adversarial manipulations.
• The findings contribute to the understanding of network resilience and control in the presence of cyber threats.