Structure Preserving Truncation of Nonlinear Port Hamiltonian Systems

Yu Kawano; Jacquelien M.A. Scherpen

doi:10.1109/tac.2018.2811787

Structure Preserving Truncation of Nonlinear Port Hamiltonian Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2018.2811787 ◽

2018 ◽

Vol 63 (12) ◽

pp. 4286-4293 ◽

Cited By ~ 1

Author(s):

Yu Kawano ◽

Jacquelien M.A. Scherpen

Keyword(s):

Hamiltonian Systems ◽

Structure Preserving

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Finite Volume Structure-Preserving Discretization of 1D Distributed-Parameter Port-Hamiltonian Systems

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2016.07.457 ◽

2016 ◽

Vol 49 (8) ◽

pp. 298-303 ◽

Cited By ~ 8

Author(s):

Paul Kotyczka

Keyword(s):

Hamiltonian Systems ◽

Finite Volume ◽

Distributed Parameter ◽

Structure Preserving

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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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Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems

Automatica ◽

10.1016/j.automatica.2012.05.052 ◽

2012 ◽

Vol 48 (9) ◽

pp. 1963-1974 ◽

Cited By ~ 42

Author(s):

Serkan Gugercin ◽

Rostyslav V. Polyuga ◽

Christopher Beattie ◽

Arjan van der Schaft

Keyword(s):

Model Reduction ◽

Hamiltonian Systems ◽

Structure Preserving

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Effort- and flow-constraint reduction methods for structure preserving model reduction of port-Hamiltonian systems

Systems & Control Letters ◽

10.1016/j.sysconle.2011.12.008 ◽

2012 ◽

Vol 61 (3) ◽

pp. 412-421 ◽

Cited By ~ 16

Author(s):

Rostyslav V. Polyuga ◽

Arjan J. van der Schaft

Keyword(s):

Model Reduction ◽

Hamiltonian Systems ◽

Constraint Reduction ◽

Structure Preserving ◽

Reduction Methods

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Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics

Journal of Computational Dynamics ◽

10.3934/jcd.2021011 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Luis C. García-Naranjo ◽

Mats Vermeeren

Keyword(s):

Hamiltonian Systems ◽

Nonholonomic Mechanics ◽

Structure Preserving

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Structure-Preserving Model Reduction of Hamiltonian Systems for Linear Elasticity

MATHMOD 2018 Extended Abstract Volume ◽

10.11128/arep.55.a55228 ◽

2018 ◽

Cited By ~ 1

Author(s):

Patrick Buchfink

Keyword(s):

Model Reduction ◽

Hamiltonian Systems ◽

Linear Elasticity ◽

Structure Preserving

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Structure-preserving interval-limited balanced truncation reduced models for port-Hamiltonian systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2019.0566 ◽

2020 ◽

Vol 14 (3) ◽

pp. 405-414

Author(s):

Kangli Xu ◽

Yaolin Jiang

Keyword(s):

Hamiltonian Systems ◽

Balanced Truncation ◽

Structure Preserving ◽

Reduced Models

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Structure Preserving Adaptive Control of Port-Hamiltonian Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2012.2192359 ◽

2012 ◽

Vol 57 (11) ◽

pp. 2880-2885 ◽

Cited By ~ 19

Author(s):

Daniel A. Dirksz ◽

Jacquelien M. A. Scherpen

Keyword(s):

Adaptive Control ◽

Hamiltonian Systems ◽

Structure Preserving

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Structure-preserving model reduction for nonlinear port-Hamiltonian systems

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6161504 ◽

2011 ◽

Cited By ~ 6

Author(s):

Christopher Beattie ◽

Serkan Gugercin

Keyword(s):

Model Reduction ◽

Hamiltonian Systems ◽

Structure Preserving

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Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems

SIAM Journal on Scientific Computing ◽

10.1137/15m1055085 ◽

2016 ◽

Vol 38 (5) ◽

pp. B837-B865 ◽

Cited By ~ 27

Author(s):

S. Chaturantabut ◽

C. Beattie ◽

S. Gugercin

Keyword(s):

Model Reduction ◽

Hamiltonian Systems ◽

Structure Preserving

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