Title | Parametric sensitivity functions for hybrid discrete/continuous systems |

Publication Type | Journal Article |

Year of Publication | 1999 |

Authors | Galán S, Feehery WF, Barton PI |

Journal | Applied Numerical Mathematics |

Volume | 31 |

Pagination | 17 - 47 |

ISSN | 0168-9274 |

Keywords | differential-algebraic equations |

Abstract | The general equations for the parametric sensitivity functions of a broad class of hybrid discrete/continuous dynamic systems where the continuous part is described by differential-algebraic equations ({DAEs}) are presented. For the cases where this continuous part is an ordinary differential equation system ({ODEs}) or a linear time invariant {DAE}, sufficient conditions for the existence and uniqueness of the sensitivity functions are derived. Numerical computation of these sensitivity functions has been implemented as a generic functionality in a mathematical modeling environment. Special cases and application examples are used for illustration. |

URL | http://www.sciencedirect.com/science/article/B6TYD-3X8GM0R-2/2/d679ce5f81fc39d639fd4ea9edca15a5 |

DOI | 10.1016/S0168-9274(98)00125-1 |

# Parametric sensitivity functions for hybrid discrete/continuous systems

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