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

页码：319 / 327

页数：9