Dynamic event‐triggered H∞$$ {H}_{\infty } $$ control for continuous‐time singular system with cyber attacks

Abstract This essay discusses the control for continuous‐time singular systems with two types of stochastic cyber attacks and dynamic event‐triggered scheme. So as to economize network resources and reduce communication burden, the novel dynamic event‐triggered mechanism is given. Cyber attacks occur randomly during network information transmission, especially the denial of service (DoS) attacks and the deception attacks. By using Lyapunov–Krasovskii functional, some novel sufficient conditions for the impulse free, regular, and asymptotically stable of the studied system are obtained, and a corresponding controller is devised. In addition, a desired controller gain is received through resolving linear matrix inequalities. Eventually, a few numerical examples are supplied to certify the usefulness of provided design ways and results.