### 抄録

Using an extended quadratic Lyapunov function of the form V(x) = x
^{T}P(x)x, we consider L
_{2}-gain analysis and state feedback control synthesis for input-affine polynomial type nonlinear systems, and derive Riccati type matrix inequality conditions that depend on x. We show that the solution P(x) can be given by solving linear matrix inequalities as a polynomial type matrix. We also determine the domain of internal stability. We finally show that the proposed method is effective through a numerical example of bilinear systems.

元の言語 | English |
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ホスト出版物のタイトル | Proceedings of the American Control Conference |

出版者 | IEEE |

ページ | 411-415 |

ページ数 | 5 |

巻 | 1 |

出版物ステータス | Published - 1997 |

イベント | Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA 継続期間: 1997 6 4 → 1997 6 6 |

### Other

Other | Proceedings of the 1997 American Control Conference. Part 3 (of 6) |
---|---|

市 | Albuquerque, NM, USA |

期間 | 97/6/4 → 97/6/6 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering

### これを引用

*Proceedings of the American Control Conference*(巻 1, pp. 411-415). IEEE.

**Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function.** / Sasaki, Seigo; Uchida, Kenko.

研究成果: Conference contribution

*Proceedings of the American Control Conference.*巻. 1, IEEE, pp. 411-415, Proceedings of the 1997 American Control Conference. Part 3 (of 6), Albuquerque, NM, USA, 97/6/4.

}

TY - GEN

T1 - Convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function

AU - Sasaki, Seigo

AU - Uchida, Kenko

PY - 1997

Y1 - 1997

N2 - Using an extended quadratic Lyapunov function of the form V(x) = x TP(x)x, we consider L 2-gain analysis and state feedback control synthesis for input-affine polynomial type nonlinear systems, and derive Riccati type matrix inequality conditions that depend on x. We show that the solution P(x) can be given by solving linear matrix inequalities as a polynomial type matrix. We also determine the domain of internal stability. We finally show that the proposed method is effective through a numerical example of bilinear systems.

AB - Using an extended quadratic Lyapunov function of the form V(x) = x TP(x)x, we consider L 2-gain analysis and state feedback control synthesis for input-affine polynomial type nonlinear systems, and derive Riccati type matrix inequality conditions that depend on x. We show that the solution P(x) can be given by solving linear matrix inequalities as a polynomial type matrix. We also determine the domain of internal stability. We finally show that the proposed method is effective through a numerical example of bilinear systems.

UR - http://www.scopus.com/inward/record.url?scp=0030721427&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030721427&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030721427

VL - 1

SP - 411

EP - 415

BT - Proceedings of the American Control Conference

PB - IEEE

ER -