A bilinear \(\mathcal{H}_2\) model order reduction approach to linear parameter-varying systems

DOI10.1007/s10444-019-09695-9zbMath1434.93011OpenAlexW2919280737MaRDI QIDQ2305529

Peter Benner, Xingang Cao, Wil H. A. Schilders

Publication date: 11 March 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-019-09695-9

zbMATH Keywords

Grassmann manifoldlinear parameter-varying systemsgradient descentmodel order reductionbilinear dynamical systems

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Numerical optimization and variational techniques (65K10) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear systems in control theory (93C10) System structure simplification (93B11)

Related Items (6)

HSH-norm optimal MOR for the MIMO linear time-invariant systems on the Stiefel manifold ⋮ On the solution of generalized Lyapunov equations for a class of continuous bilinear time-varying systems ⋮ Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems ⋮ Model order reduction for bilinear control systems with inhomogeneous initial conditions ⋮ Structure-preserving interpolation of bilinear control systems ⋮ Dimension reduction for k-power bilinear systems using orthogonal polynomials and Arnoldi algorithm

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