Much research has been carried out on learning control in which the desired trajectory is completed during repetition of the same operation. Many application classes from linear systems to certain classes of nonlinear systems have been investigated, along with the conditions of their learning stability. However, there seems to be no discussion of the manner of approach of the real trajectory to the desired trajectory in each trial. The reason for investigating this behavior in each trial is that the approach to the desired trajectory may be limited to certain directions, depending on the procedure to which the learning control is applied. In general, as a first step to considering the problem of learning control of the approach of a system with multiple degrees of freedom from a restricted region to the desired target in each trial, a linear time-invariant learning control system with one input and one output is characterized. In this system, the real trajectory approaches the desired trajectory, given as a function of time, from one of the regions sandwiching the desired target. The obtained results are confirmed by simulation.