### Resumé

Originalsprog | Engelsk |
---|---|

Titel | Proceedings of the 2011 Australian Control Conference |

Forlag | IEEE |

Publikationsdato | 2011 |

Sider | 230-235 |

Status | Udgivet - 2011 |

Udgivet eksternt | Ja |

Begivenhed | The 2011 Australian Control Conference - Melbourne, Australien Varighed: 10. nov. 2011 → 11. nov. 2011 |

### Konference

Konference | The 2011 Australian Control Conference |
---|---|

Land | Australien |

By | Melbourne |

Periode | 10/11/2011 → 11/11/2011 |

### Fingeraftryk

### Citer dette

*Proceedings of the 2011 Australian Control Conference*(s. 230-235). IEEE.

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*Proceedings of the 2011 Australian Control Conference.*IEEE, s. 230-235, The 2011 Australian Control Conference, Melbourne, Australien, 10/11/2011.

**Boundary control of long waves in nonlinear dispersive systems.** / Hasan, Agus; Foss, Bjarne; Aamo, Ole Morten.

Publikation: Bidrag til bog/antologi/rapport/konference-proceeding › Konferencebidrag i proceedings › Forskning › peer review

TY - GEN

T1 - Boundary control of long waves in nonlinear dispersive systems

AU - Hasan, Agus

AU - Foss, Bjarne

AU - Aamo, Ole Morten

PY - 2011

Y1 - 2011

N2 - Unidirectional propagation of long waves in nonlinear dispersive systems may be modeled by the Benjamin-Bona-Mahony-Burgers equation, a third order partial differential equation incorporating linear dissipative and dispersive terms, as well as a term covering nonlinear wave phenomena. For higher orders of the nonlinearity, the equation may have unstable solitary wave solutions. Although it is a one dimensional problem, achieving a global result for this equation is not trivial due to the nonlinearity and the mixed partial derivative. In this paper, two sets of nonlinear boundary control laws that achieve global exponential stability and semi-global exponential stability are derived for both linear and nonlinear cases.

AB - Unidirectional propagation of long waves in nonlinear dispersive systems may be modeled by the Benjamin-Bona-Mahony-Burgers equation, a third order partial differential equation incorporating linear dissipative and dispersive terms, as well as a term covering nonlinear wave phenomena. For higher orders of the nonlinearity, the equation may have unstable solitary wave solutions. Although it is a one dimensional problem, achieving a global result for this equation is not trivial due to the nonlinearity and the mixed partial derivative. In this paper, two sets of nonlinear boundary control laws that achieve global exponential stability and semi-global exponential stability are derived for both linear and nonlinear cases.

M3 - Article in proceedings

SP - 230

EP - 235

BT - Proceedings of the 2011 Australian Control Conference

PB - IEEE

ER -