Bipartite Consensus for Multi-Agent Systems with Differential Privacy Constraint
作者单位：Tianjin Key Laboratory of Process Measurement and ControlSchool of Electrical and Information EngineeringTianjin University
会议名称：《第40届中国控制会议》
会议日期：2021年
学科分类：07[理学] 0839[工学-网络空间安全] 08[工学] 070104[理学-应用数学] 081201[工学-计算机系统结构] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
关 键 词：Multi-agent Systems Antagonistic Information Bipartite Consensus Differential Privacy
摘 要：This paper studies the differential privacy-preserving problem of discrete-time multi-agent systems（MASs） with antagonistic information, where the connected signed graph is structurally balanced. First, we introduce the bipartite consensus definitions in the sense of mean square and almost sure, respectively. Second, some criteria for mean square and almost sure bipartite consensus are derived, where the eventualy value is related to the gauge matrix and agents’ initial states. Third, we design the-differential privacy algorithm and characterize the tradeoff between differential privacy and system ***, simulations validate the effectiveness of the proposed algorithm.