Network Control Systems Security - This study focuses on the stability issue of network control systems (NCSs) under possible hybrid attacks (HAs), which has important research value in network security. Firstly, the HAs method of deception cyber attacks (CAs) and random CAs are studied, which broadly consider the complexity of the types of attacks. Secondly, a novel time-delay-product boundary looped function (BLF) is developed, fully considering the delay and sampling information. In addition, the initial constraints of the criterion on the matrices are effectively relaxed. Then, a new dynamic memory sample data (DMSD) controller under HAs is constructed to control the asymptotical stable (AS) of NCSs. Finally, a numerical experiment is presented to verify the correctness and feasibility of the theory.