The topology of vehicular network communication systems changes over time and cannot guarantee stability when subjected to disturbances. In this paper, a cooperative control method is designed for vehicular multi-intelligent body systems under variable communication topology conditions. Using the feedback linearization method, the state space equations of vehicle linear dynamics are obtained. Meanwhile, due to the existence of diverse communication topologies in the multi-vehicle cooperative system, based on the directed graph theory in graph theory, the communication topology model describing the vehicle communication situation is established and the communication topology matrix is defined. Finally, the dynamics model, communication topology model, state predictor model and controller model of the vehicles are integrated to realize the stability control of the system, and the system is simulated in the two cases of leader-follower and no leader with the effect of guinea simulation experiments and practical applications. It has been found that the system in this paper performs well in stability simulation experiments, and all followers can achieve a cooperative control consistent state after 6 seconds in the leader-follower case. The leaderless case takes only 3 seconds. In the two real-world application experiments, the time taken to achieve trajectory consistency is even shorter, and the stability of the communication network topology is maintained. The system constructed in this paper is capable of achieving instantaneous cooperative control through network communication and ensuring system stability.