### 抜粋

This paper presents new sufficient conditions for exponential stability of switched linear systems under arbitrary switching, which involve the commutators (Lie brackets) among the given matrices generating the switched system. The main novel feature of these stability criteria is that, unlike their earlier counterparts, they are robust with respect to small perturbations of the system parameters. Two distinct approaches are investigated. For discrete-time switched linear systems, we formulate a stability condition in terms of an explicit upper bound on the norms of the Lie brackets. For continuous-time switched linear systems, we develop two stability criteria which capture proximity of the associated matrix Lie algebra to a solvable or a .solvable plus compact. Lie algebra, respectively.

元の言語 | 英語 |
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ホスト出版物のタイトル | 2010 49th IEEE Conference on Decision and Control, CDC 2010 |

ページ | 408-413 |

ページ数 | 6 |

DOI | |

出版物ステータス | 出版済み - 12 1 2010 |

外部発表 | Yes |

イベント | 2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, 米国 継続期間: 12 15 2010 → 12 17 2010 |

### 出版物シリーズ

名前 | Proceedings of the IEEE Conference on Decision and Control |
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ISSN（印刷物） | 0191-2216 |

### その他

その他 | 2010 49th IEEE Conference on Decision and Control, CDC 2010 |
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国 | 米国 |

市 | Atlanta, GA |

期間 | 12/15/10 → 12/17/10 |

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

## フィンガープリント Towards robust Lie-algebraic stability conditions for switched linear systems' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*2010 49th IEEE Conference on Decision and Control, CDC 2010*(pp. 408-413). [5717603] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2010.5717603