Robust H continuous-discrete hybrid impulsive dynamic output feedback control for delays descriptor Markovian jump systems with multidimensional impulsive operator

This study focuses on the robust H-infinity continuous-discrete hybrid impulsive dynamic output feedback (DOF) control issue for time delays descriptor Markovian jump systems (TDDMJSs) with multidimensional impulsive operator. By applying an improved impulse-time-dependent Lyapunov-Krasovskii (L-K) functional, the novel H-infinity stochastic admissibilization conditions are formulated as linear matrix inequalities. A desired H-infinity hybrid impulsive DOF controller is achieved, which includes a continuous DOF controller and a discrete impulsive DOF controller. The H-infinity stochastic admissibilization of the closed-loop TDDMJSs can be satisfied by virtue of the desired hybrid impulsive DOF controller. In the end, the validity of the proposed H-infinity hybrid impulsive DOF controller design method is demonstrated by two examples, including an oil catalytic cracking process.