In this paper, an event-triggered transmission scheme for the non-fragile networked control systems is investigated. The probabilistic time-varying delays is considered in the systems. Firstly, an event-triggered transmission scheme with aperiodic sampling is proposed to establish a probabilistic time-varying delays closed-loop system model. Then, a novel two-sided Lyapunov-Krasovskii functional is constructed by use of the characteristic of sawtooth structure. As a result, the sufficient conditions are derived and the L2 feedback controller gain is figured out to ensure the stability with extended dissipative. Finally, numerical example is given to illustrate the effectiveness of the approach.