Stability radii for real linear Hamiltonian systems with perturbed dissipation

DOI10.1007/s10543-017-0654-0zbMath1373.93274OpenAlexW2607399988MaRDI QIDQ2411652

Christian Mehl, Punit Sharma, Volker Mehrmann

Publication date: 24 October 2017

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-017-0654-0

zbMATH Keywords

port-Hamiltonian systemdissipative Hamiltonian systemreal distance to instabilityreal structured distance to instabilityrestricted real distance to instability

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Asymptotic stability in control theory (93D20) Robust stability (93D09) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Canonical forms, reductions, classification (15A21)

Related Items (10)

Computation of the nearest structured matrix triplet with common null space ⋮ A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data ⋮ Approximating the nearest stable discrete-time system ⋮ Structured eigenvalue backward errors for rational matrix functions with symmetry structures ⋮ Finding the Nearest Positive-Real System ⋮ A note on approximating the nearest stable discrete-time descriptor systems with fixed rank ⋮ Distance problems for dissipative Hamiltonian systems and related matrix polynomials ⋮ Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control ⋮ Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization ⋮ Random perturbations of matrix polynomials

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