Publication: Dynamic Parameter Sensitivities: Summary of Computation Methods for Continuous-time Modelica Models
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Dynamic Parameter Sensitivities: Summary of Computation Methods for Continuous-time Modelica Models

- Conference -
 

Area
Differential-Algebraic Equation

Author(s)
Atiyah Elsheikh

Published in
Modelica'2019: The 13th International Modelica Conference

Year
2019

Abstract
Applications of Sensitivity Analysis (SA) encouraged several Modelica platforms to independently provide facilities for externally computing Dynamic Parameter Sensitivities (DPS). FMI specifies an optional function call for evaluating directional derivatives. On the other hand, mathematical foundation for uniform representation of DPS at the Modelica language level has been established. This has resulted in a platform-independent approach demonstrated through example libraries. The paper neutrally hints that already conducted efforts may converge to the integration of language facilities for DPS without neglecting to mention many mathematical difficulties. Surprisingly, many of what could be thought to be algorithmic obstacles have intuitive solutions along a minimalist implementation approach.

AD Tools
ADModelica

AD Theory and Techniques
Equation-based AD

BibTeX
@CONFERENCE{
         Elsheikh2019DPS,
       author = "Atiyah Elsheikh",
       title = "Dynamic Parameter Sensitivities: Summary of Computation Methods for Continuous-time
         {M}odelica Models",
       booktitle = "Modelica'2019: The 13th International Modelica Conference",
       year = "2019",
       address = "Regensburg, Germany",
       month = "Mar.",
       abstract = "Applications of Sensitivity Analysis (SA) encouraged several Modelica platforms to
         independently provide facilities for externally computing Dynamic Parameter Sensitivities (DPS). FMI
         specifies an optional function call for evaluating directional derivatives. On the other hand,
         mathematical foundation for uniform representation of DPS at the Modelica language level has been
         established. This has resulted in a platform-independent approach demonstrated through example
         libraries. The paper neutrally hints that already conducted efforts may converge to the integration
         of language facilities for DPS without neglecting to mention many mathematical difficulties.
         Surprisingly, many of what could be thought to be algorithmic obstacles have intuitive solutions
         along a minimalist implementation approach.",
       ad_area = "Differential-Algebraic Equation",
       ad_tools = "ADModelica",
       ad_theotech = "Equation-based AD"
}


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