Differential Privacy Design for Eavesdroppers via Signed Networks

This article focuses on the private security of multiagent systems with external eavesdroppers. Note that the agent data/states finally reach the same value by using the consensus-based anti-eavesdroppers protocol with Laplace noises, which leads to the leakage possibility of the terminal information. To this end, a novel differential privacy protocol is designed based on directed signed networks, which yields the performance of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\xi$</tex-math></inline-formula>-differential privacy-preserving. To further reveal the effects of eavesdroppers on the system, the privacy disclosure proportion of groups (PDPGs) is proposed in the two cases of a single-channel eavesdropper and a multichannel eavesdropper. It is indicated that the PDPG of the resulting system does not exceed 50% even if the malicious adversary has the ability to crack the privacy-preserving mechanism. The effectiveness of the approach and its superiority over state-of-the-art counterparts are confirmed through numerical simulations.