STABLE – a stability algorithm for parametric model reduction by matrix interpolation

DOI10.1080/13873954.2016.1198383zbMath1348.93063OpenAlexW2472645853MaRDI QIDQ2831099

Boris Lohmann, M. Geuss

Publication date: 2 November 2016

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/13873954.2016.1198383

zbMATH Keywords

semidefinite programmingstability preservationparametric model order reductionmatrix interpolation

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Solving semidefinite-quadratic-linear programs using SDPT3
• Stability preservation in projection-based model order reduction of large scale systems
• Model order reduction with preservation of passivity, non-expansivity and Markov moments
• Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
• A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
• Passivity preserving parametric model-order reduction for non-affine parameters
• Graph Implementations for Nonsmooth Convex Programs
• An Online Method for Interpolating Linear Parametric Reduced-Order Models
• Semidefinite optimization
• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• Linear Matrix Inequalities in System and Control Theory
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Semidefinite Programming
• Stability-preserving parametric model reduction by matrix interpolation

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