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In this paper, we propose a simple method of constructing a linear state feedback law for a linear control system. This method yields a state feedback law by which only the imaginary parts of the eigenvalues of the system matrix are changed. Using this method with our design method, by which the real parts of the eigenvalues are changed, we can easily locate all eigenvalues of the closed loop system in the area desired for good response as well as for stability. Because of its simple rule in calculating a feedback gain, this method is especially powerful in the study of a high dimensional system, to which the pole assignment method is too complicated to apply.

A Method of Designing State Feedback Law to Allocate All Eigenvalues in the Assigned Region by Changing the Imaginary Parts