Asynchronous Synchronization of Markovian Jump Complex Networks With DoS Attacks and Distributed Communication Delays

In this article, we investigate the synchronization problem for Markovian jump complex networks (MJCNs) subjected to communication delays and denial-of-service (DoS) attacks. A new synchronization scheme is proposed to address the four common circumstances encountered in real-world situations: 1) DoS attacks, 2) distributed communication delays, 3) system-controller mode asynchrony, and 4) event-triggered mechanism (ETM). Initially, we hypothesize that the mode transition rate and detection probability are bounded rather than precisely known. Furthermore, the probability density function of the communication delay is characterized as a distribution kernel. A sufficient condition for the synchronization of the MJCNs is then established by constructing a Lyapunov-Krasovskii function in conjunction with the distributed kernel. To further decrease network communication, a delay-dependent ETM is also proposed. Subsequently, an event-triggered-based asynchronous strategy is developed by using the hidden Markov model. The gain matrix is computed by employing linear matrix inequalities. Ultimately, the proposed strategy's effectiveness is established through two simulated demonstrations.