In this paper we relate the stability radius that can be achieved for the closed-loop matrix to the distance to unstabilizability of the pair . In the paper we show that the closed-loop matrix can achieve a stability radius of with a real feedback matrix only if the distance to unstabilizability of is greater than . Thus the distance to the unstabilizability of provides an upper bound on the maximum stability radius that can be achieved by state feedback.
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.Copyright © 2006
by American Society of Mechanical Engineers
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