Quasi-synchronization of heterogeneous nonlinear multi-agent systems subject to DOS attacks with impulsive effects

Abstract This paper is concerned with the quasi-synchronization of heterogeneous nonlinear multi-agent systems under DOS attacks with impulsive effects. The impulsive effects play either a positive role (impulsive control) or a negative role (impulsive disturbance) in the synchronization problem. The communication topology subjected to DOS attacks is considered, which destroys the communication channel among agents. A connectivity restoration mechanism is assumed. Only considering the positive impulsive effect, the controller does not need to operate constantly, which will reduce the controller resource consumption. Only taking the negative impulsive effect into account, a feedback controller is designed to counteract with the impulsive disturbance and DOS attacks. By using the concept of ‘average impulsive interval’, the criterion of quasi-synchronization with two impulsive effects is unified. Based on the impulsive theorem, the relationship among attack strength, control gain and average impulsive interval is analyzed. The results are illustrated by a simulation example.

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