In this paper, an elastic control strategy for network control systems (NCSs) with zero dynamic attacks is studied,in which an implicit false data injection attack is designed based on input control and data measurement. When the control signal of networked control system is attacked by network, according to the fault detection and isolation scheme of passive model, it is found that the result of zero dynamic attack on device state variables is undetectable during the attack process, but it will become obvious after the attack. To solve this problem, an Elastic Linear Quadratic Gauss Controller (ELQGC) with the ability to quickly recover the behavior of the closed loop system at the attack end is designed by using the information provided by the active version of the Generalized Likelihood Ratio Detector (GLR) to update the Kalman filter online. The experimental results show that the proposed algorithm has significantly higher attack detection quality, better computational efficiency and memory utilization efficiency, which demonstrate the effectiveness of the algorithm.