Assignment of Eigenvalues in a Disc D (c, r) of Complex Plane with Application of the Gerschgorin Theorem
نویسنده
چکیده
This paper is concerned with the problem of designing discrete-time control systems with closed-loop eigenvalues in a prescribed region of stability. First, we obtain a state feedback matrix which assigns all the eigenvalues to zero and then by elementary similarity operations and using the Gerschgorin theorem we find a state feedback which assigns the eigenvalues inside a circle with center c and radius r. This new algorithm can also be used for the placement of closed-loop eigenvalues in a specified disc in z-plane and can be employed for large-scale discrete-time linear control systems. Some illustrative examples are presented to show the advantages of this new technique.
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