Abstract
AbstractWe 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. 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.
Funder
Technische Universität Ilmenau
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering
Reference13 articles.
1. Banaszuk A, Przyłuski KM (1999) On perturbations of controllable implicit linear systems. IMA J Math Control Inf 16:91–102
2. Barker GP, Schneider H (1973) Matrices and linear algebra, 2nd edn. Dover Publications, New York
3. Belur MN, Shankar S (2019) The persistence of impulse controllability. Math Control Signals Syst 31:487–501
4. Berger T, Reis T (2013) Controllability of linear differential-algebraic systems – a survey. 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
5. Federer H (1969) Geometric measure theory. Springer, Berlin
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献