TY - CHAP
T1 - Compositional modelling of distributed-parameter systems
AU - Maschke, B.M.
AU - van der Schaft, Arjan
PY - 2005
Y1 - 2005
N2 - The Hamiltonian formulation of distributed-parameter systems has been a challenging reserach area for quite some time. (A nice introduction, especially with respect to systems stemming from fluid dynamics, can be found in [26], where also a historical account is provided.) The identification of the underlying Hamiltonian structure of sets of p.d.e.s has been instrumental in proving all sorts of results on integrability, the existence of soliton solutions, stability, reduction, etc., and in unifying existing results, see e.g. [11], [24], [18], [17], [25], [14].
AB - The Hamiltonian formulation of distributed-parameter systems has been a challenging reserach area for quite some time. (A nice introduction, especially with respect to systems stemming from fluid dynamics, can be found in [26], where also a historical account is provided.) The identification of the underlying Hamiltonian structure of sets of p.d.e.s has been instrumental in proving all sorts of results on integrability, the existence of soliton solutions, stability, reduction, etc., and in unifying existing results, see e.g. [11], [24], [18], [17], [25], [14].
U2 - 10.1007/11334774_4
DO - 10.1007/11334774_4
M3 - Chapter
SN - 978-1-85233-923-4
T3 - Lecture Notes in Control and Information Sciences
SP - 115
EP - 154
BT - Advanced Topics in Control Systems Theory
A2 - Lamnabhi-lagarrigue, F
A2 - Loría, A.
A2 - Panteley, E.
PB - Springer
CY - Berlin
ER -