Examples of differential-algebraic systems and their solution

1989 ◽  
pp. 106-123 ◽  
Author(s):  
Ernst Hairer ◽  
Michel Roche ◽  
Christian Lubich
Keyword(s):  
Algebraic Systems

A numerical study of fractional linear algebraic systems

2021 ◽  
Vol 182 ◽  
pp. 495-513
Author(s):  
Emmanuel Lorin ◽  
Simon Tian
Keyword(s):  
Numerical Study ◽  
Algebraic Systems ◽  
Linear Algebraic Systems

scholarly journals Differential-algebraic systems are generically controllable and stabilizable

2021 ◽  
Author(s):  
Achim Ilchmann ◽  
Jonas Kirchhoff
Keyword(s):  
Algebraic Geometry ◽  
Linear Time ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Algebraic Systems ◽  
Linear Time Invariant ◽  
Survey Article ◽  
Link Type ◽  
Invariant Differential ◽  
Time Invariant

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.

scholarly journals Reduced order multirate schemes for coupled differential-algebraic systems

2021 ◽  
Author(s):  
M.W.F.M. Bannenberg ◽  
A. Ciccazzo ◽  
M. Günther
Keyword(s):  
Algebraic Systems ◽  
Reduced Order

Accurate solution of linear algebraic systems

1967 ◽  
Author(s):  
Cleve B. Moler
Keyword(s):  
Accurate Solution ◽  
Algebraic Systems ◽  
Linear Algebraic Systems

scholarly journals Lattice Image Processing: A Unification of Morphological and Fuzzy Algebraic Systems

2005 ◽  
Vol 22 (2-3) ◽  
pp. 333-353 ◽  
Author(s):  
Petros Maragos
Keyword(s):  
Image Processing ◽  
Lattice Image ◽  
Algebraic Systems

A new two-stage Rosenbrock scheme for differential-algebraic systems

2011 ◽  
Vol 3 (5) ◽  
pp. 604-618 ◽  
Author(s):  
A. B. Alshin ◽  
E. A. Alshina
Keyword(s):  
Two Stage ◽  
Algebraic Systems

A matric approach to the stability of solutions of algebraic systems by arithmetic and analytic machines

1965 ◽  
Vol 7 (2) ◽  
pp. 82-91
Author(s):  
E.V. Krishnamurthy ◽  
P.M. Honnell
Keyword(s):  
Stability Of Solutions ◽  
Algebraic Systems ◽  
The Stability
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