The fragility of wireless communication networks makes industrial cyber physical systems vulnerable to suffer various types of network attacks. In order to research the characteristics of different network attacks for establishing effective defense measures, this paper constructs an industrial cyber physical systems structure based on linear time-invariant discrete systems. The attack space and the attacker attack model of the cyber physics system are deeply studied. The control theory method is used to establish the mathematical expression of the model knowledge, disclosure resource and the broken resource. The basic characteristics of three typical network attacks, such as denial of service attack, replay attack and false data injection attack, and the manifestations of attack models under corresponding attacks are analyzed. Simulation experiments are conducted to evaluate the performance of destructiveness and concealment by using the Simulink/Truetime simulation tool. The simulation results show that the attack space model and the attacker attack model can effectively describe the attack characteristics of network attacks.