### 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/σ_{max} (B) B) is greater than γ. An analytical solution is provided for such a real feedback matrix K.

Original language | English (US) |
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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

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## Cite this

Rajamani, R., & Cho, Y. M. (2004). On stability radius and state feedback.

*Control and Intelligent Systems*,*32*(2), 99-103.