Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems

被引：39
|
作者：
Kunkel, P
Mehrmann, V
机构：
[1] Carl Von Ossietzky Univ Oldenburg, Fachbereich Math, D-26111 Oldenburg, Germany
[2] Tech Univ Berlin, FB Math 3, D-10623 Berlin, Germany
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2001年 / 14卷 / 03期
关键词：
nonlinear differential-algebraic equations; nonlinear control problems; solvability; model consistency; behavior approach; strangeness index; regularization; feedback design;
D O I：
10.1007/PL00009884
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study over- and underdetermined systems of nonlinear differential-algebraic equations. Such equations arise in many applications in circuit and multibody system simulation, in particular when automatic model generation is used, or in the analysis and solution of control problems in the behavior framework. We give a general (local) existence and uniqueness theory and apply the results to analyze when nonlinear implicit control problems can be made regular by state or output feedback. The theoretical analysis also leads immediately to numerical methods for the simulation as well as the construction of regularizing feedbacks.
引用
收藏
页码：233 / 256
页数：24
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