Eigenvalue assignment for real matrices of specified form
Hewlon Zimmer, J. Van Ness · IEEE Transactions on Automatic Control · 1974
The purpose of this note is to report on various existence conditions found in connection with the problem of assigning the eigenvalues of a realnth-order matrix constrained by the specification of certain zero entries. This problem finds applications in many areas, but it was originally motivated by attempts to obtain desired responses from annth-order dynamic system governed by a set of linear homogeneous differential equations of the form\dot{x} = AxwhereAis the constant real system matrix to be found.