Truncated Gramians for Bilinear Systems and Their Advantages in Model Order Reduction
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Publication:4637166
DOI10.1007/978-3-319-58786-8_18zbMath1384.93028OpenAlexW2752152889MaRDI QIDQ4637166
Peter Benner, Pawan Goyal, Martin Redmann
Publication date: 18 April 2018
Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-58786-8_18
Controllability (93B05) Nonlinear systems in control theory (93C10) Observability (93B07) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (6)
Type II Balanced Truncation for Deterministic Bilinear Control Systems ⋮ Structure-preserving model order reduction for K-power bilinear systems via Laguerre functions ⋮ Model order reduction for bilinear control systems with inhomogeneous initial conditions ⋮ 2 Balancing-related model reduction methods ⋮ Model order reduction of linear and bilinear systems via low-rank Gramian approximation ⋮ Time- and frequency-limited H2-optimal model order reduction of bilinear control systems
Cites Work
- Unnamed Item
- Approximation and model order reduction for second order systems with Levy-noise
- Efficient low-rank solution of generalized Lyapunov equations
- Balancing for nonlinear systems
- Krylov subspace methods for model order reduction of bilinear control systems
- Model reduction for stochastic systems
- Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
- Bilinear control processes. With applications to engineering, ecology, and medicine
- Low rank methods for a class of generalized Lyapunov equations and related issues
- Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
- A projection method for model reduction of bilinear dynamical systems
- Balanced Averaging of Bilinear Systems with Applications to Stochastic Control
- Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
- Balanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis
- Direct methods and ADI‐preconditioned Krylov subspace methods for generalized Lyapunov equations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems
- Multipoint Volterra Series Interpolation and $\mathcal{H}_2$ Optimal Model Reduction of Bilinear Systems
- Approximation of Large-Scale Dynamical Systems
- On the nonuniqueness of singular value functions and balanced nonlinear realizations
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