Abstract:Distributed parameter estimation based on adaptive networks has received increasing attention in recent years. Although existing distributed parameter estimation algorithms perform well in secure networks without attacks, in adversarial networks subjected to attacks such as false data injection (FDI), the false data (also known as malicious data) injected by attackers will spread throughout the network through node communication and collaboration, leading to a deterioration of the algorithm’s estimation performance. If the algorithm cannot quickly recover its estimation performance from the attack (i.e., the algorithm is not resilient to the attack), it may lead to serious consequences. To this end, this paper first briefly introduced the basic problems and principles of resilient distributed parameter estimation algorithms; then, it systematically summarized the research progress of resilient distributed parameter estimation algorithms in recent years from two aspects: FDI attack detection and elastic parameter estimation strategies, and analyzed their performance in adversarial networks subjected to FDI attacks; finally, it discussed the development trend and potential future research directions of the existing resilient distributed parameter estimation algorithms.