Krylov subspaces from bilinear representations of nonlinear systems

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

zbMATH Keywords

modellingsimulation

Mathematics Subject Classification ID

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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