Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 99-103 |
| Number of pages | 5 |
| Journal | Control and Intelligent Systems |
| Volume | 32 |
| Issue number | 2 |
| State | Published - Apr 23 2004 |
Keywords
- Distance to uncontrollability
- Distance to unstabilizability
- Stability radius