### 抄録

In this paper, we study ℒ
_{2} gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric systems with time delay. We show that when all subsystems have the ℒ
_{2} gains γ in the sense of satisfying an LMI, the switched system has the same ℒ
_{2} gain γ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of ℒ
_{2} gain.

元の言語 | English |
---|---|

ホスト出版物のタイトル | Proceedings - IEEE International Symposium on Circuits and Systems |

巻 | 3 |

出版物ステータス | Published - 2003 |

外部発表 | Yes |

イベント | Proceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand 継続期間: 2003 5 25 → 2003 5 28 |

### Other

Other | Proceedings of the 2003 IEEE International Symposium on Circuits and Systems |
---|---|

国 | Thailand |

市 | Bangkok |

期間 | 03/5/25 → 03/5/28 |

### Fingerprint

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering

### これを引用

_{2}gain analysis for switched symmetric systems with time delay under arbitrary switching ：

*Proceedings - IEEE International Symposium on Circuits and Systems*(巻 3)

**ℒ
_{2} gain analysis for switched symmetric systems with time delay under arbitrary switching
.** / Zhai, Guisheng; Chen, Xinkai; Sun, Ye; Michel, Anthony N.

研究成果: Conference contribution

_{2}gain analysis for switched symmetric systems with time delay under arbitrary switching ：

*Proceedings - IEEE International Symposium on Circuits and Systems.*巻. 3, Proceedings of the 2003 IEEE International Symposium on Circuits and Systems, Bangkok, Thailand, 03/5/25.

_{2}gain analysis for switched symmetric systems with time delay under arbitrary switching ： Proceedings - IEEE International Symposium on Circuits and Systems. 巻 3. 2003

}

TY - GEN

T1 - ℒ 2 gain analysis for switched symmetric systems with time delay under arbitrary switching

AU - Zhai, Guisheng

AU - Chen, Xinkai

AU - Sun, Ye

AU - Michel, Anthony N.

PY - 2003

Y1 - 2003

N2 - In this paper, we study ℒ 2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric systems with time delay. We show that when all subsystems have the ℒ 2 gains γ in the sense of satisfying an LMI, the switched system has the same ℒ 2 gain γ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of ℒ 2 gain.

AB - In this paper, we study ℒ 2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric systems with time delay. We show that when all subsystems have the ℒ 2 gains γ in the sense of satisfying an LMI, the switched system has the same ℒ 2 gain γ under arbitrary switching. The key idea is to establish a common Lyapunov function for all subsystems in the sense of ℒ 2 gain.

UR - http://www.scopus.com/inward/record.url?scp=0038082526&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038082526&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0038082526

VL - 3

BT - Proceedings - IEEE International Symposium on Circuits and Systems

ER -