Abstract: Considering a class of uncertain networked control systems with short time-delay，it proposes a discrete model，in which a full-order observer is utilized to compensate network-induced delay，by defining an augmented state vector，based on Lyapunov stability theory and matrix theory．Sufficient conditions for asymptotic stability of closed．1oop systems were derived，and the state~edback controller was obtained，based on the feasible solution of the linear matrix inequalities(LMI)．The simulation results verify the validity of the proposed method．

Key words: networked control systems；uncertain time—delay；linear matrix inequalities；full—order observer of the state；Lyapunov function