Abstract: Based on a class of distributed parameter systems with moving boundaries in which the agents exhibit dynamic behavior, we study mobile control problems involving guaranteed collision avoidance for mobile multi-agents. We assume each agent to be equipped with a sensor and an actuator. The sensors are used to obtain measurements of the system states and transmit them to the controllers. The corresponding control strategy is implemented by actuators equipped with controllers. In this study, we design a type of output feedback controller and propose mobile strategies that guarantee collision avoidance by the agents. This means the system is asymptotically stable based on the system's abstract evolution equation and Lyapunov's method. Furthermore, we prove that the moving boundary of the system can overwhelmingly affect the corresponding control strategy. The proposed mobile control policy can effectively enhance the system performance, and simulation results confirm the effectiveness of the proposed method.