Bipartite Containment Control for General Linear Multiagent Systems under Denial-of-Service Attacks

Abstract

In this study, we focus on the bipartite containment control of a group of networked agents with general linear dynamics and antagonistic interactions in a DoS attack environment. Under DoS attacks, the communication links at each time change quite dynamically, which are captured by the dynamic signed digraphs. By introducing transformation vectors and designing the feedback matrix, a new time-varying augmented system is derived. Main analytical tools including edge composition and the properties related to the product of sub-stochastic matrices are applied to prove the convergence of the obtained augmented system. A sufficient condition with an unstable system matrix under DoS attacks is proposed, under which the states of followers are guaranteed to be within the convex hull formed from the states and sign-inverted states of leaders. The effectiveness of the presented sufficient condition is confirmed by performing a simulation test.