Explicit formulae for completions of linear time varying singular systems of differential equations
From MaRDI portal
Publication:1327406
DOI10.1007/BF01188105zbMath0804.34002OpenAlexW1978577363MaRDI QIDQ1327406
Marek Rakowski, Stephen L. Campbell
Publication date: 19 June 1994
Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01188105
algorithmpseudoinversesnumerical robustnesstransformation of linear time-varying DAEs with known index
Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical analysis in abstract spaces (65J99)
Related Items
Generalized inverses of two-variable polynomial matrices and applications ⋮ Delay-dependent \(H_{\infty }\) filtering for discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities ⋮ Index characterization of differential-algebraic equations in hybrid analysis for circuit simulation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimal McMillan degree rational matrix functions with prescribed local zero-pole structure
- Control problem structure and the numerical solution of linear singular systems
- Minimal factorization of matrix and operator functions
- Generalized pseudoinverses of matrix valued functions
- Uniqueness of completions for linear time varying differential algebraic equations
- Interpolation of rational matrix functions
- The numerical solution of differential-algebraic systems by Runge-Kutta methods
- A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
- The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations
- Minimal factorization of rational matrix functions