抄録
In this paper, controllability problems are considered for control systems governed by a system of partial differential equations of parabolic type in one dimensional (half) space.
Controllability for the system on which control is exerted by means of parameters distributed all over the space is considered in some detail. Sufficient conditions for controllability by means of a finite number of parameters are obtained and a few illustrative examples are given. Mathematical methods used to derive the results are elementary.
Similar mathematical methods are applied to the controllability problem of the system on which control is exerted by means of a finite number of parameters in boundary conditions. It is shown that the parabolicity of the equations which govern the system guarantees the controllability, when only the highest order spatial differentiations are contained in the partial differential equations.
