We consider a version of the pole placement problem for continuous time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of arbitrary assignment of the dichotomy spectrum. The main ingredients of the proof are the reduction of system to upper triangular form and the use of the concept of uniform complete stabilization. To illustrate the theoretical result, we consider scalar continuous time-varying control systems. For these systems we provide a simple necessary and sufficient condition for uniform complete controllability and if this condition holds, then we construct an explicit control to assign the dichotomy spectrum.

对于连续时变线性系统，我们考虑极点布置问题的一种形式。我们的目的是证明统一的完全可控性等同于二分法谱的任意分配的可能性。证明的主要内容是将系统简化为上三角形式，以及使用统一完全稳定化的概念。为了说明理论结果，我们考虑了标量连续时变控制系统。对于这些系统，我们为统一的完全可控性提供了一个简单的必要条件和充分条件，如果该条件成立，那么我们将构造一个明确的控件来分配二分法谱。