Differential-algebraic systems are generically controllable and stabilizable

被引：0

作者：

Achim Ilchmann

Jonas Kirchhoff

机构：

[1] Technische Universität Ilmenau,Institut für Mathematik

来源：

Mathematics of Control, Signals, and Systems | 2021年 / 33卷

关键词：

Differential-algebraic equations; Controllability; Stabilizability; Genericity; 34A09; 93B05;

D O I：

暂无

中图分类号：

学科分类号：

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/10.1007/978-3-642-34928-7_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：18