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

An issue regarding security synchronization is addressed for a class of interval type-2 (IT2) fuzzy stochastic multiplex complex networks with fuzzy hybrid control under deception attacks. Firstly, some complicated facts are considered in a unified network framework, such as multiplex, multiple delays, and stochastic disturbances, etc. In particular, different from the traditional hypothesis, the uncertainty is taken into consideration for the membership functions and along with the strategy of upper and lower bound and the correlative tradeoff functions to overcome this uncertainty. Secondly, malicious data are injected into channels between sensor and controller that may lead to undesired system performance. Then, based on Lyapunov stability theory and comparison principle, a novel IT2 fuzzy hybrid controller, containing a state feedback controller and a network-based impulsive controller, is designed to ensure a mean-square bounded synchronization so that the error states can converge below error thresholds. Finally, impulsive effects including both positive and negative roles are considered simultaneously in the security synchronization strategy, and the feasibility of the designed scenario is demonstrated by two numerical examples.