Differential-algebraic systems are generically controllable and stabilizable

被引：3

作者：

Ilchmann, Achim ^{[1
]}

Kirchhoff, Jonas ^{[1
]}

机构：

[1] Tech Univ Ilmenau, Inst Math, Weimarer Str 25, D-98693 Ilmenau, Germany

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2021年 / 33卷 / 03期

关键词：

Differential-algebraic equations; Controllability; Stabilizability; Genericity;

D O I：

10.1007/s00498-021-00287-x

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 investigate genericity of various controllability and stabilizability concepts of linear, time-invariant differential-algebraic systems. Based on well-known algebraic characterizations of these concepts (see the survey article by Berger and Reis (in: Ilchmann A, Reis T (eds) Surveys in differential-algebraic equations I, Differential-Algebraic Equations Forum, Springer, Berlin, pp 1-61. https://doi.org/10.1007/9783-642-34928-7_1)), we use tools from algebraic geometry to characterize genericity of controllability and stabilizability in terms of matrix formats.

引用

页码：359 / 377

页数：19

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