ON DIFFERENTIAL ALGEBRAIC EQUATIONS WITH DISCONTINUITIES

被引：17
|
作者：
BRULL, L
PALLASKE, U
机构：
[1] Bayer AG, Abt. AV-IM-AM, Leverkusen
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1992年 / 43卷 / 02期
关键词：
D O I：
10.1007/BF00946633
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamic features of systems in mathematical process simulation are often studied by looking at the response of the system to discontinuities in the input variables (Sprung-Antwort-Verhalten). A more detailed analysis ([2]) shows that for systems in the form of differential algebraic equations (even with index 1), which frequently occur e.g. in chemical engineering, a solution to the problem need not exist. In this paper we derive necessary and sufficient conditions for such systems to guarantee the solvability of the problem (Theorem 1). Further, a simple algorithm is stated (Theorem 3), which is suitable for numerical computation.
引用
收藏
页码：319 / 327
页数：9
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