TY - GEN UR - http://lib.ugent.be/catalog/pug01:1231276 ID - pug01:1231276 LA - eng TI - Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures PY - 2010 SN - 9781424477456 SN - 9781424477463 PB - New York AU - Vankerschaver, Joris WE01 001999061882 AU - Yoshimura, Hiroaki AU - Leok, Melvin AU - Marsden, Jerrold E AB - We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Schaft and Maschke. We introduce Poisson reduction in this context and show how Stokes-Dirac structures can be derived through symmetry reduction from a canonical Dirac structure on the unreduced phase space. In this way, we recover not only the standard structure matrix of Stokes-Dirac structures, but also the typical non-canonical advection terms in (for instance) the Euler equation. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 1231276 | ||
005 | 20180813140749.0 | ||
008 | 110524s2010------------------------eng-- | ||
020 | a 9781424477456 | ||
020 | a 9781424477463 | ||
024 | a 000295049107021 2 wos | ||
024 | a 1854/LU-1231276 2 handle | ||
024 | a 10.1109/CDC.2010.5717698 2 doi | ||
040 | a UGent | ||
245 | a Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures | ||
260 | a New York, NY, USA b IEEE c 2010 | ||
520 | a We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Schaft and Maschke. We introduce Poisson reduction in this context and show how Stokes-Dirac structures can be derived through symmetry reduction from a canonical Dirac structure on the unreduced phase space. In this way, we recover not only the standard structure matrix of Stokes-Dirac structures, but also the typical non-canonical advection terms in (for instance) the Euler equation. | ||
598 | a P1 | ||
100 | a Vankerschaver, Joris u WE01 0 001999061882 0 801001781625 9 F6E0E292-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Yoshimura, Hiroaki | ||
700 | a Leok, Melvin | ||
700 | a Marsden, Jerrold E | ||
650 | a Mathematics and Statistics | ||
653 | a multidimensional systems | ||
653 | a phase space methods | ||
653 | a matrix algebra | ||
653 | a boundary-value problems | ||
653 | a stochastic processes | ||
773 | t 2010 49th IEEE Conference on Decision and Control (CDC 2010) g 2010 49th IEEE Conference on Decision and Control (CDC 2010). 2010. IEEE. p.6265-6270 q :<6265 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/1231276/file/1231295 z [open] y VaYoLeMa2010-cdc.pdf | ||
920 | a confcontrib | ||
Z30 | x WE 1 WE01 | ||
922 | a UGENT-WE |
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