Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment
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Publication:459102
DOI10.1016/j.cma.2014.01.011zbMath1296.93165OpenAlexW2040642276MaRDI QIDQ459102
Srinivasan Arunajatesan, Irina Kalashnikova, Bart G. van Bloemen Waanders, Matthew F. Barone
Publication date: 8 October 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.01.011
stabilitypole placementproper orthogonal decomposition (POD)/Galerkin projectionreduced order model (ROM)constrained nonlinear least-squareslinear time-invariant (LTI) system
Applications of mathematical programming (90C90) Stabilization of systems by feedback (93D15) Pole and zero placement problems (93B55)
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Cites Work
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- On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding
- Reliable reduced-order models for time-dependent linearized Euler equations
- Calibrated reduced-order POD-Galerkin system for fluid flow modelling
- Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison
- Goal-oriented, model-constrained optimization for reduction of large-scale systems
- Stable Galerkin reduced-order models for linearized compressible flow
- Enablers for robust POD models
- A spectral viscosity method for correcting the long-term behavior of POD models.
- Equation-free/Galerkin-free POD-assisted computation of incompressible flows
- Model reduction for compressible flows using POD and Galerkin projection
- MST MEMS model order reduction: requirements and benchmarks
- On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment
- Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem
- Robust pole assignment in linear state feedback
- The dynamics of coherent structures in the wall region of a turbulent boundary layer
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Numerical Optimization
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- A Survey of Model Reduction by Balanced Truncation and Some New Results
- Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
- Stabilization of projection‐based reduced‐order models
- Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation
- MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
- Reduced Basis Approximation and Error Bounds for Potential Flows in Parametrized Geometries