A discrete-time clustered distributed algorithm for solving linear equations under denial-of-service attacks.

Abstract

This paper investigates the problem of designing a discrete-time clustered distributed algorithm to solve large-scale linear equations via clustered multi-agent network in the presence of denial-of-service attacks. First, a discrete-time clustered distributed algorithm is proposed to solve linear equations. Then the resilience of the proposed distributed algorithm to denial-of-service attacks is analyzed. It is shown that the distributed algorithm proposed can reach a consensus exponentially on one of the solutions of linear equations provided that certain conditions regarding the number of denial-of-service attacks is satisfied. Finally, the effectiveness of the distributed algorithm proposed is validated via the numerical simulations of the power flow calculation of power systems.