Balanced truncation model reduction with a priori error bounds for LTI systems with nonzero initial value
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Publication:2087477
DOI10.1016/j.cam.2022.114708zbMath1504.93049arXiv2006.02495OpenAlexW3033955973MaRDI QIDQ2087477
Matthias Voigt, Christian Schröder
Publication date: 21 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.02495
Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) System structure simplification (93B11)
Related Items (2)
A dynamic mode decomposition based reduced-order model for parameterized time-dependent partial differential equations ⋮ Model order reduction for bilinear systems with non-zero initial states – different approaches with error bounds
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Cites Work
- Unnamed Item
- Model order reduction for linear and nonlinear systems: a system-theoretic perspective
- Model reduction for systems with inhomogeneous initial conditions
- Balanced truncation model reduction for systems with inhomogeneous initial conditions
- Balanced model reduction of linear systems with nonzero initial conditions: singular perturbation approximation
- On eigenvalues of matrices dependent on a parameter
- Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey
- A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction
- A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles
- Asymptotic tracking with prescribed transient behaviour for linear systems
- Approximation of Large-Scale Dynamical Systems
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