The issue of mean-square delayed consensus of nonlinear multi-agent systems (NMASs) suffered from denial-of-service (DoS) attacks under Markov switching topologies and dynamic event-triggered control (DETC) is studied. Firstly, the networks among agents are inevitably attacked because the communication networks are open access. DoS attacks that are destructive, stealthy and easy to realize are considered. Secondly, DoS attacks can result in random changes of the communication topologies, which are assumed to be uncertain nonhomogeneous Markov switching (UNMS) topologies with partially unknown transition rates (TRs). Then, in order to reduce unnecessary signal transmission, the adaptive control law and DETC are adopted. The sufficient conditions of mean-square delayed consensus of NMASs in term of random analysis method and distributed control theory are explored. Finally, the exactness of the results and the effectiveness of the methods are validated by the example given.

The stability and boundedness for delayed impulsive SDEs driven by fBm are studied in this paper. Two kinds of noises, i.e, additive fBm noise and mul-tiplicative fBm noise are both taken into consideration. By using stochastic Lyapunov technique and impulsive control theory, sufficient criteria for pth moment exponential stability and mean square ultimate boundedness are derived, for two kinds of fBm driven delayed impulsive SDEs, respectively. As application, the obtained results are used to do practical synchronization w.r.t. a class of chaotic systems, in which the response system is perturbed by additive fBm noises. Finally, A Chua chaotic oscillator is given to verify the validity and applicability of the derived results.