Krylov subspaces from bilinear representations of nonlinear systems
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Publication:3591240
DOI10.1108/03321640710727755zbMath1121.78009OpenAlexW2094355076MaRDI QIDQ3591240
Marissa Condon, Rossen I. Ivanov
Publication date: 10 September 2007
Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)
Full work available at URL: http://doras.dcu.ie/2438/1/paper5.pdf
Numerical computation of solutions to systems of equations (65H10) Technical applications of optics and electromagnetic theory (78A55)
Related Items (10)
Type II Balanced Truncation for Deterministic Bilinear Control Systems ⋮ Low rank methods for a class of generalized Lyapunov equations and related issues ⋮ Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ Two-sided projection methods for model reduction of MIMO bilinear systems ⋮ Model reduction of bilinear systems based on Laguerre series expansion ⋮ Structure-preserving interpolation for model reduction of parametric bilinear systems ⋮ A unifying framework for tangential interpolation of structured bilinear control systems ⋮ Krylov subspace methods for model order reduction of bilinear control systems ⋮ Structure-preserving interpolation of bilinear control systems ⋮ Model Reduction of Bilinear Systems in the Loewner Framework
Cites Work
- Empirical balanced truncation of nonlinear systems
- Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
- Model reduction of nonlinear systems
- Nonlinear systems – algebraic gramians and model reduction
- Energy methods for stability of bilinear systems with oscillatory inputs
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