TY - CHAP
T1 - Port-Hamiltonian Systems
AU - van der Schaft, Arjan
PY - 2017/1/1
Y1 - 2017/1/1
N2 - As described in the previous Chaps. 3 and 4, (cyclo-)passive systems are defined by the existence of a storage function (nonnegative in case of passivity) satisfying the dissipation inequality with respect to the supply rate s(u, y) = uTy. In contrast, port-Hamiltonian systems, the topic of the current chapter are endowed with the property of (cyclo-)passivity as a consequence of their system formulation. In fact, port-Hamiltonian systems arise from first principles physical modeling. They are defined in terms of a Hamiltonian function together with two geometric structures (corresponding, respectively, to power-conserving interconnection and energy dissipation), which are such that the Hamiltonian function automatically satisfies the dissipation inequality.
AB - As described in the previous Chaps. 3 and 4, (cyclo-)passive systems are defined by the existence of a storage function (nonnegative in case of passivity) satisfying the dissipation inequality with respect to the supply rate s(u, y) = uTy. In contrast, port-Hamiltonian systems, the topic of the current chapter are endowed with the property of (cyclo-)passivity as a consequence of their system formulation. In fact, port-Hamiltonian systems arise from first principles physical modeling. They are defined in terms of a Hamiltonian function together with two geometric structures (corresponding, respectively, to power-conserving interconnection and energy dissipation), which are such that the Hamiltonian function automatically satisfies the dissipation inequality.
UR - http://www.scopus.com/inward/record.url?scp=85042874282&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-49992-5_6
DO - 10.1007/978-3-319-49992-5_6
M3 - Chapter
AN - SCOPUS:85042874282
SN - 978-3-319-49991-8
T3 - Communications and Control Engineering
SP - 113
EP - 171
BT - L2-Gain and Passivity Techniques in Nonlinear Control
A2 - van der Schaft, Arjan
PB - Springer International Publishing
ER -