This manuscript presents a notion of parallelizability of control systems. Parallelizability is a well-known concept of dynamical systems that associates with complete instability and dispersiveness. The concept of dispersiveness has been successfully interpreted in the setup of control systems. This naturally asks about the meaning of a parallelizable control system. The answer can be given in the setting of control affine systems by evoking their control flows. The main result shows that a parallelizable control flow characterizes a dispersive control affine system. The dispersiveness is then equivalent to the existence of a functional with infinite limit at infinity. The results of the paper contribute to the controllability studies, since dispersive control systems admit no control set. For invariant control systems with commutative vector fields, null trace representative matrices are a necessary condition for the existence of control set.

该手稿提出了控制系统可并行性的概念。并行性是动态系统的一个众所周知的概念，它与完全的不稳定性和分散性相关。分散性的概念已在控制系统的设置中得到成功解释。这自然会询问可并行控制系统的含义。可以在控制仿射系统的设置中通过唤起它们的控制流程来给出答案。主要结果表明，可并行控制流是色散控制仿射系统的特征。色散于是等于存在无限无穷大的泛函。本文的结果有助于控制性研究，因为分散控制系统不接受控制集。