Implicit and explicit representations of continuous-time port-Hamiltonian systems

Fernando Castanos, Dmitry Gromov, Vincent Hayward, Hannah Michalska

Research output

5 Citations (Scopus)

Abstract

Implicit and explicit representations of smooth, finite-dimensional port-Hamiltonian systems are studied from the perspective of their use in numerical simulation and control design. Implicit representations arise when a system is modeled in Cartesian coordinates and when the system constraints are applied in the form of additional algebraic equations. Explicit representations are derived when generalized coordinates are used. A relationship between the phase spaces for both system representations is derived in this article, justifying the equivalence of the representations in the sense of preserving their Hamiltonian functions as well as their Hamiltonian symplectic forms, ultimately resulting in the same Hamiltonian flow. (C) 2013 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)324-330
Number of pages7
JournalSystems and Control Letters
Volume62
Issue number4
DOIs
Publication statusPublished - Apr 2013

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Hamiltonians
Computer simulation

Cite this

Castanos, Fernando ; Gromov, Dmitry ; Hayward, Vincent ; Michalska, Hannah. / Implicit and explicit representations of continuous-time port-Hamiltonian systems. In: Systems and Control Letters. 2013 ; Vol. 62, No. 4. pp. 324-330.
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Implicit and explicit representations of continuous-time port-Hamiltonian systems. / Castanos, Fernando; Gromov, Dmitry; Hayward, Vincent; Michalska, Hannah.

In: Systems and Control Letters, Vol. 62, No. 4, 04.2013, p. 324-330.

Research output

TY - JOUR

T1 - Implicit and explicit representations of continuous-time port-Hamiltonian systems

AU - Castanos, Fernando

AU - Gromov, Dmitry

AU - Hayward, Vincent

AU - Michalska, Hannah

PY - 2013/4

Y1 - 2013/4

N2 - Implicit and explicit representations of smooth, finite-dimensional port-Hamiltonian systems are studied from the perspective of their use in numerical simulation and control design. Implicit representations arise when a system is modeled in Cartesian coordinates and when the system constraints are applied in the form of additional algebraic equations. Explicit representations are derived when generalized coordinates are used. A relationship between the phase spaces for both system representations is derived in this article, justifying the equivalence of the representations in the sense of preserving their Hamiltonian functions as well as their Hamiltonian symplectic forms, ultimately resulting in the same Hamiltonian flow. (C) 2013 Elsevier B.V. All rights reserved.

AB - Implicit and explicit representations of smooth, finite-dimensional port-Hamiltonian systems are studied from the perspective of their use in numerical simulation and control design. Implicit representations arise when a system is modeled in Cartesian coordinates and when the system constraints are applied in the form of additional algebraic equations. Explicit representations are derived when generalized coordinates are used. A relationship between the phase spaces for both system representations is derived in this article, justifying the equivalence of the representations in the sense of preserving their Hamiltonian functions as well as their Hamiltonian symplectic forms, ultimately resulting in the same Hamiltonian flow. (C) 2013 Elsevier B.V. All rights reserved.

KW - Port-Hamiltonian systems

KW - Nonlinear implicit systems

KW - Modeling of physical systems

KW - DYNAMICS

KW - FORMULATION

U2 - 10.1016/j.sysconle.2013.01.007

DO - 10.1016/j.sysconle.2013.01.007

M3 - статья

VL - 62

SP - 324

EP - 330

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 4

ER -