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)|
|Number of pages||5|
|Journal||Control and Intelligent Systems|
|State||Published - Apr 23 2004|
- Distance to uncontrollability
- Distance to unstabilizability
- Stability radius