Multipoint interpolation of Volterra series and \(\mathcal{H}_2\)-model reduction for a family of bilinear descriptor systems

DOI10.1016/j.sysconle.2016.08.008zbMath1350.93024OpenAlexW2521239849WikidataQ115214812 ScholiaQ115214812MaRDI QIDQ344972

Peter Benner, Pawan Goyal

Publication date: 25 November 2016

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2016.08.008

zbMATH Keywords

Volterra series\(\mathcal{H}_2\) optimalitybilinear descriptor systemsinterpolatory model reduction

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) System structure simplification (93B11) Large-scale systems (93A15)

Related Items (10)

A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ $\mathcal H_2$-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems ⋮ Moment‐matching based model reduction for Navier–Stokes type quadratic‐bilinear descriptor systems ⋮ A unifying framework for tangential interpolation of structured bilinear control systems ⋮ Interpolation-Based Model Order Reduction for Polynomial Systems ⋮ Structure-preserving interpolation of bilinear control systems ⋮ 3 Model order reduction based on moment-matching ⋮ An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier–Stokes Equations ⋮ A new framework for H2-optimal model reduction

Uses Software

• Loewner

Cites Work

• Unnamed Item
• Unnamed Item
• Model order reduction for linear and nonlinear systems: a system-theoretic perspective
• Krylov subspace methods for model order reduction of bilinear control systems
• Krylov subspace-based model reduction for a class of bilinear descriptor systems
• Numerical solution of differential algebraic Riccati equations
• 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.
• Interpolatory projection methods for structure-preserving model reduction
• On \(H_2\) model reduction of bilinear systems
• 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
• Model Reduction of Descriptor Systems by Interpolatory Projection Methods
• Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
• 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
• Natural Bilinear Control Processes
• Approximation of Large-Scale Dynamical Systems

This page was built for publication: Multipoint interpolation of Volterra series and \(\mathcal{H}_2\)-model reduction for a family of bilinear descriptor systems