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Parametric sensitivity functions for hybrid discrete/continuous systems

✍ Scribed by Santos Galán; William F. Feehery; Paul I. Barton

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
300 KB
Volume
31
Category
Article
ISSN
0168-9274

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✦ Synopsis

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.

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