$H_{\infty}$ Control for Continuous-time Singular System with Cyber-attacks and Hybrid-triggered Mechanism

This study delves into hybrid-triggered $H_{\infty}$ con-trol for continuous-time singular systems exposed to random cyber-attacks. Hybrid-triggered communication mechanism is employed to mitigate the effects of cyber-attacks. Furthermore, a new model of switching singular systems is developed, considering the random nature of cyber-attacks and the integration of Hybrid-triggered mechanism. A Lyapunov-based functional is utilized to validate the stability of the singular system, ensuring it is impulse-free, regular, and exhibits asymptotic stability. The determination of optimal controller gains is achieved through the resolution of a series of linear matrix inequalities. An illustrative numerical example is presented to showcase the effectiveness of the strategy developed.