Security synchronization protocol for IT2 stochastic fuzzy multiplex complex networks via fuzzy hybrid control

Area of Science:

• Control Systems Engineering
• Network Security
• Fuzzy Logic Systems

Background:

• Complex networks are susceptible to security vulnerabilities, especially under deception attacks.
• Multiplex networks with delays and stochastic disturbances present significant control challenges.
• Uncertainty in membership functions requires advanced control strategies.

Purpose of the Study:

• To develop a robust security synchronization strategy for interval type-2 (IT2) fuzzy stochastic multiplex complex networks.
• To design an IT2 fuzzy hybrid controller capable of mitigating deception attacks.
• To ensure mean-square bounded synchronization in the presence of uncertainties and malicious data.

Main Methods:

• Utilizing Lyapunov stability theory and comparison principles.
• Designing a novel IT2 fuzzy hybrid controller integrating state feedback and impulsive control.
• Incorporating upper and lower bound strategies and tradeoff functions to handle membership function uncertainty.
• Considering simultaneous positive and negative impulsive effects in the synchronization strategy.

Main Results:

• Achieved mean-square bounded synchronization for IT2 fuzzy stochastic multiplex complex networks.
• Demonstrated the controller's effectiveness in converging error states below predefined thresholds.
• Validated the proposed security synchronization strategy through two numerical examples.

Conclusions:

• The designed IT2 fuzzy hybrid controller effectively ensures security synchronization under deception attacks.
• The approach successfully addresses uncertainties in membership functions and network complexities.
• The study provides a feasible framework for securing complex network systems.