Event-triggered [formula omitted] consensus for nonlinear multi-agent systems with semi-Markov switching topologies under DoS attacks

Abstract

The consensus problem of nonlinear multi-agent systems is studied in this paper, considering the semi-Markov switching topologies under DoS (denial-of-service) attacks. In this regard, an event-triggered mechanism is introduced for multi-agent systems under DoS attacks. Moreover, combining the semi-Markov topology with the event-triggered mechanism, a new consensus controller under DoS attacks is proposed. Furthermore, by choosing the Lyapunov–Krasovskii function and applying the matrix inequality technique, a sufficient and necessary condition is derived for the system stability as well as the state consensus. Subsequently, H∞ norm is proposed to enhance the performance of the multi-agent systems. Finally, a numerical example is provided to show the effectiveness and applicability of the proposed approach.