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.
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页码：17 / 47
页数：31
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