Robust port-Hamiltonian representations of passive systems

DOI10.1016/j.automatica.2018.11.013zbMath1411.93056arXiv1801.05018OpenAlexW2964083883WikidataQ128873312 ScholiaQ128873312MaRDI QIDQ1737634

Christopher A. Beattie, Paul Van Dooren, Volker Mehrmann

Publication date: 24 April 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05018

zbMATH Keywords

linear matrix inequalitystability radiusport-Hamiltonian systempassivity radiuspositive real system

Mathematics Subject Classification ID

Related Items (27)

An overview on recent machine learning techniques for port Hamiltonian systems ⋮ Error bounds for port-Hamiltonian model and controller reduction based on system balancing ⋮ Passivity preserving model reduction via spectral factorization ⋮ Computation of the nearest structured matrix triplet with common null space ⋮ Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts ⋮ A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data ⋮ On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ Differential-algebraic systems with dissipative Hamiltonian structure ⋮ A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems ⋮ Port-Hamiltonian Dynamic Mode Decomposition ⋮ Hypocoercivity and controllability in linear semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations ⋮ Structure-preserving \(\mathcal{H}_{\infty}\) control for port-Hamiltonian systems ⋮ Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems ⋮ Pseudo-Hamiltonian neural networks with state-dependent external forces ⋮ Mini-workshop: Mathematics of dissipation -- dynamics, data and control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting) ⋮ Numerical mathematics and control. Preface to a special issue dedicated to Volker Mehrmann on the occasion of his 65th birthday ⋮ Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis ⋮ Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems ⋮ Quantitatively hyper-positive real functions ⋮ Distance problems for dissipative Hamiltonian systems and related matrix polynomials ⋮ Optimal Robustness of Port-Hamiltonian Systems ⋮ A reduced order model approach to inverse scattering in lossy layered media ⋮ Structure preserving approximation of dissipative evolution problems ⋮ Control of port-Hamiltonian systems with minimal energy supply ⋮ Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

Cites Work

• Unnamed Item
• Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
• Dissipative dynamical systems. I: General theory
• Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations
• Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations
• Linear Matrix Inequalities in System and Control Theory
• Computing the nearest stable matrix pairs
• Finding the Nearest Positive-Real System
• Port-Hamiltonian Systems Theory: An Introductory Overview

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