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The problem of active control of linear, time-periodic systems is discussed and several useful pole placement techniques are found. The techniques available for solving a linear, time-periodic system (a Floquet problem) are summarized. The problem of determining the state feedback necessary to alter one characteristic root is solved completely. When conjugate roots are to be moved, a useful relation is found linking the old and new roots in the case of scalar control, and in the case of vector control, we present a pole-placement algorithm. Finally, we offer some discussion on the remaining problems of time-periodic control.

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