R. Rajamani and Y.M. Cho
Stability radius, distance to uncontrollability, distance to unstabilizability
This article relates the stability radius that can be achieved for the closed-loop matrix (A − BK) to the distance to unstabilizability of the pair (A, B). The authors show that a real matrix K exists such that the closed-loop matrix (A − BK) has a stability radius larger than γ if the distance to unstabilizability of the pair (A, γ/σmax(B), B) is greater than γ. An analytical solution is provided for such a real feedback matrix K.
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