Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems

DOI10.1137/18M1164275zbMath1403.15009arXiv1801.02214OpenAlexW2964129835WikidataQ129183915 ScholiaQ129183915MaRDI QIDQ4689240

Christian Mehl, Volker Mehrmann, Michał Wojtylak

Publication date: 15 October 2018

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02214

zbMATH Keywords

Lyapunov stabilitydescriptor systemHamiltonian systemcanonical formmatrix pencilsingular pencil

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (27)

Linear port-Hamiltonian descriptor systems ⋮ Structure-Preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems ⋮ Computation of the nearest structured matrix triplet with common null space ⋮ Model Reduction for Linear Systems with Low-Rank Switching ⋮ Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts ⋮ Optimal Control of Port-Hamiltonian Descriptor Systems with Minimal Energy Supply ⋮ A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data ⋮ Stability of matrix polynomials in one and several variables ⋮ 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 ⋮ Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems ⋮ Hypocoercivity and controllability in linear semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations ⋮ Optimization-based model order reduction of port-Hamiltonian descriptor systems ⋮ Linear port-Hamiltonian DAE systems revisited ⋮ Identification of port-Hamiltonian systems from frequency response data ⋮ Unnamed Item ⋮ The gap distance to the set of singular matrix pencils ⋮ Port-Hamiltonian Modeling of District Heating Networks ⋮ Port-Hamiltonian formulation of nonlinear electrical circuits ⋮ Generalized port-Hamiltonian DAE systems ⋮ Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems ⋮ Distance problems for dissipative Hamiltonian systems and related matrix polynomials ⋮ Solving Singular Generalized Eigenvalue Problems by a Rank-Completing Perturbation ⋮ A Linear Relation Approach to Port-Hamiltonian Differential-Algebraic Equations ⋮ Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems ⋮ Matrix pencils with the numerical range equal to the whole complex plane

Cites Work

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