Distance problems for dissipative Hamiltonian systems and related matrix polynomials

DOI10.1016/j.laa.2020.05.026zbMath1466.15010arXiv2001.08902OpenAlexW3029722114WikidataQ114152173 ScholiaQ114152173MaRDI QIDQ2029856

Christian Mehl, Volker Mehrmann, Michał Wojtylak

Publication date: 4 June 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08902

zbMATH Keywords

Kronecker canonical formmatrix pencildistance to instabilitydifferential-algebraic systemdistance to singularitydissipative Hamiltonian systemdistance to high index problem

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

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 ⋮ 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 ⋮ Fixed-order H-infinity controller design for 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 ⋮ Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration ⋮ Unnamed Item ⋮ A Linear Relation Approach to Port-Hamiltonian Differential-Algebraic Equations ⋮ Matrix pencils with the numerical range equal to the whole complex plane ⋮ Estimation of Structured Distances to Singularity for Matrix Pencils with Symmetry Structures: A Linear Algebra--Based Approach

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