Adaptive event‐triggered dissipative filter design for semi‐Markov jump systems under hybrid network attacks

This article investigates the adaptive event‐triggered dissipative filter design for semi‐Markov jump systems under hybrid network attacks, in which hybrid network attacks consist of deception attack on the transmission of system state information and denial of service attack on the transmission of mode information. In order to save network communication resources, a novel adaptive event‐triggered mechanism is proposed, which can automatically adjust the event triggered threshold according to the filter error system changes. Next, a switched filtering error model is constructed by considering hybrid network attacks, adaptive event‐triggered scheme and time delays. Sufficient conditions are given to ensure that the filtering error system satisfies mean square exponential stability and strictly (Ψ1,Ψ2,Ψ3)−γ$$ \left({\Psi}_1,{\Psi}_2,{\Psi}_3\right)-\gamma $$ dissipative. Furthermore, filtering parameters and event triggered parameters are solved by linear matrix inequality technique. Finally, two examples are given to verify the validity of the proposed method.