Secure Bipartite Tracking Control for Linear Leader-Following Multiagent Systems Under Denial-of-Service Attacks

Abstract

Dear editor, This letter puts forward a secure feedback control scheme to bipartite tracking consensus for a set of generic linear autonomous agents subject to aperiodic and unknown denial-of-service (DoS) attacks. In contrast to the DoS attack model that disables all transmission channels simultaneously, we are concerned with a general DoS attack model with independent attacks over each transmission channel. Such malicious attacks not only destroy the connectivity of underlying network, but also induce the dynamic transmission of reachable information. A time-varying error system is built upon the proposed distributed controller and the designed feedback matrix. A sufficient condition in terms of the frequency and duration of DoS attacks is developed with the assistance of some techniques from graph theory and non-negative matrix theory such that the state error is guaranteed to asymptotically approach zero. In particular, our results are proved to be applicable for a class of multiagent systems (MASs) with the strictly unstable system matrix.