Model reduction for systems with inhomogeneous initial conditions
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Publication:503835
DOI10.1016/j.sysconle.2016.11.007zbMath1353.93019arXiv1610.03262OpenAlexW2565430228MaRDI QIDQ503835
Serkan Gugercin, Christopher A. Beattie, Volker Mehrmann
Publication date: 23 January 2017
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.03262
model reductionbalanced truncationapproximation error balancinginhomogeneous initial conditioniterative rational Krylov algorithmtransfer map splitting
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Cites Work
- Model order reduction for linear and nonlinear systems: a system-theoretic perspective
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Balanced truncation model reduction for systems with inhomogeneous initial conditions
- Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
- A framework for the solution of the generalized realization problem
- Direct methods for matrix Sylvester and Lyapunov equations
- Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
- Passivity preserving model reduction via interpolation of spectral zeros
- A new result on passivity preserving model reduction
- Interpolatory Model Reduction of Large-Scale Dynamical Systems
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
- Synthesis of minimum roundoff noise fixed point digital filters
- A Survey of Model Reduction by Balanced Truncation and Some New Results
- Quadrature-Based Vector Fitting for Discretized $\mathcal{H}_2$ Approximation
- Approximation of Large-Scale Dynamical Systems
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