Parametric sensitivity functions for hybrid discrete/continuous systems

被引：94

作者：

Galán, S ^{[1
]}

Feehery, WE ^{[1
]}

Barton, PI ^{[1
]}

机构：

[1] MIT, Dept Chem Engn, Cambridge, MA 02139 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 1999年 / 31卷 / 01期

关键词：

hybrid systems; parametric sensitivities; existence and uniqueness; differential-algebraic equations;

D O I：

10.1016/S0168-9274(98)00125-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.

引用

页码：17 / 47

页数：31

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