Research output: Contribution to journal › Article › peer-review
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: Contribution to journal › Article › peer-review
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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 -
ID: 5759837