Secure Impulsive Synchronization for Complex Networks Under Fully Distributed Deception Attacks: Error Conjunction Approach

This article is devoted to dealing with the secure synchronization for complex networks suffering from deception attacks via impulsive control. Notably, false data would be injected in a fully distributed manner with various attack signals diffusing in node-to-node communication channels. The controlled error system is implicitly represented in the form of tracking errors within the error conjunction matrix. In consideration of the risk that synchronizing impulses may be transformed into impulsive disturbances due to malicious attacks, an extended definition of average impulsive gain is introduced to describe the hybrid impulse sequence containing diametrically opposed functions. Moreover, a self-triggered mechanism integrating memory characteristic is built to regulate impulse activations. By leveraging historical temporal data, the issue of active attacks induced by activation impulse signals is effectively circumvented. With the Lyapunov stability theorem, the error conjunction matrix, and the comparison system-based method, sufficient conditions for secure synchronization could be obtained. The given simulation examples show that the self-triggered impulsive controller could perform well under the attack scenarios.