Abstarct: The purpose of this thesis is to address the stability analysis of discrete-time Network Control Systems (NCSs) against uncertainty and disturbance using finite-time control. First, the robust finite-time stability of NCS is studied only considering the random communication delays. In this case, both measurement and actuation delays are modeled by two independent Bernoulli distributed white sequences. A dynamic output feedback controller is designed to realize the finite time control for this class of NCSs with prescribed performance level. Then, the robust finite-time stability of NCSs is investigated under varying time delay and random data packet dropout, which is modeled by Bernoulli distributed white sequence technique. Here, a state feedback controller is designed to achieve finite- time stability and attenuate the disturbance. According to our knowledge, this is the first research work to study the robust finite-time time stability of uncertain discrete-time NCSs with time varying delay and packet dropout simultaniously. Finally, to illustrate the effectiveness and benefits of the proposed control algorithms, different numerical examples are presented. Simulation results demonstrate that the algorithms can cope with the performance requirements appropriately.