Secure multi-dimensional consensus algorithm against malicious attacks

【Author】 Luo, Xiaoyu; Zhao, Chengcheng; He, Jianping

【Source】AUTOMATICA

【影响因子】6.150

【Abstract】In this paper, we investigate the problem of multi-dimensional consensus subject to the internal agent dynamics constraint and external non-cooperative malicious attacks. We propose a secure discrete-time multi-dimensional consensus algorithm (SMCA), where two-hop information is utilized to check the integrity of neighboring agents' information. Furthermore, we derive a necessary and sufficient condition for all normal agents to achieve consensus exponentially under SMCA. For the boundary-case attacks under SMCA, we first cast the problem as an equivalent problem of multi-dimensional consensus with nonuniform time-delays, and then obtain the analytical expression of the attacks' effects on the final state and convergence rate. Compared with the existing works, SMCA can achieve multi-dimensional consensus for all normal agents with local dynamics even when the number of compromised agents is unknown. Finally, extensive simulations demonstrate the effectiveness of the proposed algorithm.& COPY; 2023 Published by Elsevier Ltd.

【Keywords】Multi-dimensional consensus; Malicious attacks; Secure algorithm; Two-hop information; Incremental norm

【发表时间】2023 NOV

【收录时间】2023-09-19

【文献类型】实验仿真

【主题类别】

区块链技术-核心技术-共识机制