Dynamic event-triggered asynchronous and resilient dissipative filtering for discrete-time Markov jump singularly perturbed systems with hybrid cyber attacks

This paper delves into the challenge concerning the development of an asynchronous and resilient dissipative filter tailored for discrete-time Markov jump singularly perturbed systems (MJSPSs) encountering hybrid cyber attacks. To alleviate the communication network's transmission burden further, we propose dynamic event triggering control strategy. Given the influence of both deception attacks and denial-of-service attacks on the discrete-time MJSPSs systems under consideration, we initially devise a novel hybrid cyber attacks model to integrate these two attack categories seamlessly. An asynchronous filter is meticulously devised, taking into account the formidable task of acquiring mode information from the Markov chain. Consequently, we introduce a hidden Markov model to delineate the asynchronous scenario between the modes of the original Markov chain and the designed asynchronous filter. By formulating the Lyapunov-Krasovskii functional with respect to the singular perturbation parameter, we establish sufficient conditions for achieving stochastic stability with specified dissipative performance for the closed-loop discrete-time MJSPSs. Subsequently, we present the systematic design approach for the non-synchronous filter and the dynamic event triggering control strategy. Finally, we provide a practical demonstration through numerical experimentation and the realization of a tunnel diode circuit system to validate the theoretical insights.