Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations

Christian Mehl; Volker Mehrmann; Punit Sharma

doi:10.1137/16m1067330

Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/16m1067330 ◽

2016 ◽

Vol 37 (4) ◽

pp. 1625-1654 ◽

Cited By ~ 23

Author(s):

Christian Mehl ◽

Volker Mehrmann ◽

Punit Sharma

Keyword(s):

Hamiltonian Systems ◽

Structure Preserving ◽

Linear Hamiltonian Systems ◽

Stability Radii

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Stability radii for real linear Hamiltonian systems with perturbed dissipation

BIT Numerical Mathematics ◽

10.1007/s10543-017-0654-0 ◽

2017 ◽

Vol 57 (3) ◽

pp. 811-843 ◽

Cited By ~ 9

Author(s):

Christian Mehl ◽

Volker Mehrmann ◽

Punit Sharma

Keyword(s):

Hamiltonian Systems ◽

Linear Hamiltonian Systems ◽

Real Linear ◽

Stability Radii

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On the deformation of linear Hamiltonian systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125051 ◽

2021 ◽

Vol 499 (2) ◽

pp. 125051

Author(s):

Harald Schmid

Keyword(s):

Hamiltonian Systems ◽

Linear Hamiltonian Systems

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Strong Stability of Linear Hamiltonian Systems in Total Differentials with Periodic Coefficients

Differential Equations ◽

10.1007/s10625-005-0215-1 ◽

2005 ◽

Vol 41 (6) ◽

pp. 773-779

Author(s):

I. V. Gaishun

Keyword(s):

Hamiltonian Systems ◽

Strong Stability ◽

Periodic Coefficients ◽

Linear Hamiltonian Systems

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Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems

Linear Algebra and its Applications ◽

10.1016/j.laa.2005.11.025 ◽

2006 ◽

Vol 416 (2-3) ◽

pp. 452-519 ◽

Cited By ~ 57

Author(s):

Yuming Shi

Keyword(s):

Hamiltonian Systems ◽

Linear Hamiltonian Systems

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The Spectral Resolution for Linear Hamiltonian Systems with One Singular Point

Hilbert Space, Boundary Value Problems and Orthogonal Polynomials ◽

10.1007/978-3-0348-8155-5_10 ◽

2002 ◽

pp. 167-187

Author(s):

Allan M. Krall

Keyword(s):

Singular Point ◽

Hamiltonian Systems ◽

Spectral Resolution ◽

Linear Hamiltonian Systems

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Oscillation theorems for linear Hamiltonian systems with nonlinear dependence on the spectral parameter and the comparative index

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.007 ◽

2019 ◽

Vol 90 ◽

pp. 15-22 ◽

Cited By ~ 3

Author(s):

Julia Elyseeva

Keyword(s):

Hamiltonian Systems ◽

Spectral Parameter ◽

Nonlinear Dependence ◽

Linear Hamiltonian Systems ◽

Oscillation Theorems

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Oscillation of linear Hamiltonian systems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(02)00271-7 ◽

2002 ◽

Vol 44 (10-11) ◽

pp. 1467-1477 ◽

Cited By ~ 14

Author(s):

Fanwei Meng ◽

Yuangong Sun

Keyword(s):

Hamiltonian Systems ◽

Linear Hamiltonian Systems

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Stability of linear Hamiltonian systems in total differentials with periodic coeficients

Differential Equations ◽

10.1007/s10625-005-0132-3 ◽

2005 ◽

Vol 41 (1) ◽

pp. 33-40 ◽

Cited By ~ 1

Author(s):

I. V. Gaishun

Keyword(s):

Hamiltonian Systems ◽

Linear Hamiltonian Systems

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The group of linear Hamiltonian systems in total differentials and strong stability of its stationary and periodic elements

Differential Equations ◽

10.1134/s0012266106060024 ◽

2006 ◽

Vol 42 (6) ◽

pp. 779-788

Author(s):

I. V. Gaishun

Keyword(s):

Hamiltonian Systems ◽

Strong Stability ◽

Linear Hamiltonian Systems

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Reducible problem for a class of almost-periodic non-linear Hamiltonian systems

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1787-7 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Muhammad Afzal ◽

Tariq Ismaeel ◽

Muhammad Jamal

Keyword(s):

Hamiltonian Systems ◽

Almost Periodic ◽

Linear Hamiltonian Systems ◽

Non Linear

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