Abstract
In this paper, the finite pole assignment problem for distributed parameter systems is considered. This is formulated as the problem to assign a finite number of eigenvalues of distributed parameter systems, which have infinite number of discrete spectrum, to predetermined positions. The necessary and sufficient condition for the ability of the finite pole assignment for the non-selfadjoint operator case is shown. An algorithm to calculate feedback gains assigning poles approximately is developed by using the Galerkin approximate method. The convergence of the resultant approximating control is studied.