Limit cycles in locally Hamiltonian systems with dissipation

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Limit cycles in locally Hamiltonian systems with dissipation. / Castaños, Fernando; Gromov, Dmitry.

In: IFAC-PapersOnLine, Vol. 54, No. 19, 2021, p. 192-197.

Research output: Contribution to journal › Conference article › peer-review

Author

Castaños, Fernando ; Gromov, Dmitry. / Limit cycles in locally Hamiltonian systems with dissipation. In: IFAC-PapersOnLine. 2021 ; Vol. 54, No. 19. pp. 192-197.

BibTeX

@article{5bf6f7896da544edb919e16313442861,

title = "Limit cycles in locally Hamiltonian systems with dissipation",

abstract = "We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction.",

keywords = "Discontinuous Hamiltonian, Limit cycles, Locally Hamiltonian systems, Passivity, Port-Hamiltonian systems, Symplectic systems, symplectic systems, PASSIVITY-BASED CONTROL, INTERCONNECTION, discontinuous Hamiltonian, locally Hamiltonian systems, passivity, limit cycles",

author = "Fernando Casta{\~n}os and Dmitry Gromov",

note = "Publisher Copyright: {\textcopyright} The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 ; Conference date: 11-10-2021 Through 13-10-2021",

year = "2021",

doi = "10.1016/j.ifacol.2021.11.077",

language = "English",

volume = "54",

pages = "192--197",

journal = "IFAC-PapersOnLine",

issn = "2405-8971",

publisher = "Elsevier",

number = "19",

}

RIS

TY - JOUR

T1 - Limit cycles in locally Hamiltonian systems with dissipation

AU - Castaños, Fernando

AU - Gromov, Dmitry

N1 - Publisher Copyright: © The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

PY - 2021

Y1 - 2021

N2 - We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction.

AB - We consider systems that possess a local but non-global port-Hamiltonian representation. We show that non-globality is a consequence of the phase-space topology and that local port-Hamiltonian systems may transgress the dissipation inequality satisfied by their global counterparts. Far from being a defect, non-globality extends the modeling power of port-Hamiltonian systems by providing a framework to model cyclic physical processes for energy conversion and extraction.

KW - Discontinuous Hamiltonian

KW - Limit cycles

KW - Locally Hamiltonian systems

KW - Passivity

KW - Port-Hamiltonian systems

KW - Symplectic systems

KW - symplectic systems

KW - PASSIVITY-BASED CONTROL

KW - INTERCONNECTION

KW - discontinuous Hamiltonian

KW - locally Hamiltonian systems

KW - passivity

KW - limit cycles

UR - http://www.scopus.com/inward/record.url?scp=85121007003&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/6c2a3df2-bb15-310c-a2c1-7baec840f99f/

U2 - 10.1016/j.ifacol.2021.11.077

DO - 10.1016/j.ifacol.2021.11.077

M3 - Conference article

AN - SCOPUS:85121007003

VL - 54

SP - 192

EP - 197

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 19

T2 - 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021

Y2 - 11 October 2021 through 13 October 2021

ER -

ID: 89665237