抄録
In this paper, detailed analyses are made concerning a controllable region in the third order linear control systems by applying the author's method which uses a certain vector-valued function Z(t, η).
It is shown that a boundary point of the controllable region can be obtained rigorously in some limited cases, and approximately on the basis of a numerical computation in the other cases.
By taking into account the fact that a boundary point in the state space is determined as a function of the parameters introduced instead of the initial values of the system's adjoint differential equation, a boundary surface of the controllable region is obtained as an image of the plane formed by the parameters in the state space.
Furthermore, discussions are also made concerning the n-th order linear control systems, and it is clarified that a boundary of the controllable region can be obtained in the same manner as shown in the third order linear control systems.
