Generalized port-Hamiltonian DAE systems

DOI10.1016/j.sysconle.2018.09.008zbMath1408.93019arXiv1808.01845OpenAlexW2887101385MaRDI QIDQ1729055

Bernhard Maschke, Arjan J. Van der Schaft

Publication date: 27 February 2019

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

Full work available at URL: https://arxiv.org/abs/1808.01845

zbMATH Keywords

Lagrangian subspaceDirac structureport-Hamiltonian systemalgebraic constraintDAE system

Mathematics Subject Classification ID

Related Items (16)

Computation of the nearest structured matrix triplet with common null space ⋮ Port-Hamiltonian formulations of poroelastic network models ⋮ Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts ⋮ Optimal Control of Port-Hamiltonian Descriptor Systems with Minimal Energy Supply ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ Differential-algebraic systems with dissipative Hamiltonian structure ⋮ Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems ⋮ Passivity, port-Hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system ⋮ Linear port-Hamiltonian DAE systems revisited ⋮ Mini-workshop: Mathematics of dissipation -- dynamics, data and control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting) ⋮ Port-Hamiltonian Modeling of District Heating Networks ⋮ Port-Hamiltonian formulation of nonlinear electrical circuits ⋮ Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems ⋮ Distance problems for dissipative Hamiltonian systems and related matrix polynomials ⋮ A Linear Relation Approach to Port-Hamiltonian Differential-Algebraic Equations ⋮ Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems

Cites Work

• Unnamed Item
• Unnamed Item
• \(L_2\)-gain and passivity techniques in nonlinear control
• Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations
• Port-Hamiltonian Systems on Graphs
• On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
• Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems
• New insights in the geometry and interconnection of port-Hamiltonian systems
• Dirac Manifolds
• Port-Hamiltonian Differential-Algebraic Systems
• Port-Hamiltonian Systems Theory: An Introductory Overview

This page was built for publication: Generalized port-Hamiltonian DAE systems