On stability radius and state feedback

R. Rajamani, Y. M. Cho

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)99-103
Number of pages5
JournalControl and Intelligent Systems
Issue number2
StatePublished - Apr 23 2004


  • Distance to uncontrollability
  • Distance to unstabilizability
  • Stability radius


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