Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems

DOI10.1016/j.automatica.2013.05.006zbMath1364.93113arXiv1304.5228OpenAlexW2011718510MaRDI QIDQ2628675

Alessandro Astolfi, Tudor C. Ionescu

Publication date: 2 June 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5228

zbMATH Keywords

model reductionphysical modelsMarkov parameterssystem order reductionmodel approximation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (8)

Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds ⋮ Passivity preserving model reduction via spectral factorization ⋮ Model Reduction by Generalized Differential Balancing ⋮ Data-driven model reduction by moment matching for linear and nonlinear systems ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ Structure-preserving generalized balanced truncation for nonlinear port-Hamiltonian systems ⋮ Interconnection-based model order reduction -- a survey ⋮ Riemannian optimal model reduction of linear port-Hamiltonian systems

Cites Work

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• Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems
• L\(_2\) gain and passivity techniques in nonlinear control.
• Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
• Important Moments in Systems and Control
• Implicitly Restarted Krylov Subspace Methods for Stable Partial Realizations
• Model Reduction of MIMO Systems via Tangential Interpolation
• Model Reduction by Moment Matching for Linear and Nonlinear Systems
• Approximation of Large-Scale Dynamical Systems

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