Fully distributed event-triggered time-varying formation control of multi-agent systems subject to mode-switching denial-of-service attacks

Abstract

In this study, the time-varying state formation control problem for general linear multi-agent systems (MASs) subject to mode-switching denial-of-service (MSDoS) attacks is considered. Based on only the sampled state information of itself and neighboring agents at event-triggered instants, a novel fully distributed event-triggered secure control strategy without continuous communication between agents is delicately designed. Note that the control strategy is implemented in a fully distributed manner, which means that it does not require any global network information. By using the multiple Lyapunov function approach based on edge-dependent average dwell time, this study presents the MASs subject to MSDoS attacks with limited attack frequency and attack width can achieve the specified time-varying state formation structure under the designed control strategy. Furthermore, this study presents that in any finite time, the control strategy does not exhibit Zeno behavior. Finally, the effectiveness and performance of the designed control strategy are validated by a numerical simulation.