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by AJ VAN DER SCHAFT - Cited by 42

http://oai.cwi.nl/oai/asset/104/0104A.pdf

Consider the implicit Hamiltonian system (T*Q x U, D, H) with symmetry ...... I: geometry of interconnection and implicit Hamiltonian systems. ...

http://www.springerlink.com/index/150g41637051u805.pdf

Hamiltonian controller such that the interconnected system (original plant and .... the skew-symmetric interconnection matrix ¯J(¯x) defined by: ¯J(¯x) = ...

http://www.springerlink.com/index/k402q853223h6w6m.pdf

by AJ van der Schaft - 2002 - Cited by 10

http://www.nd.edu/~mtns/papers/10432_1.pdf

16 Aug 2002 ... 14:20-14:40 Interconnected Systems of Fliess. Operators, W. Steven Gray, ..... Implicit Ordinary Differential Equations,. Kurt Schlacher, Andreas Kugi, ..... grangian Systems with Symmetries, Dong. Eui Chang ... 17:30-17:50 Adjoints of Hamiltonian Systems ... Spatially Interconnected Systems ...

http://www.nd.edu/~mtns/FinalProgramS.pdf

by A van der Schaft - Cited by 4

http://www.icm2006.org/proceedings/Vol_III/contents/ICM_Vol_3_65.pdf

by AJ van der Schaft - Related articles

http://www.crm.es/Research/0405/documentscontrol/references.pdf

by J Cerveraa - Cited by 21

http://www.math.rug.nl/~arjan/DownloadPublicaties/CerveraVanderSchaftBanosrev.pdf

by D Eberard - Cited by 1

http://www.math.rug.nl/~arjan/DownloadPublicaties/SpringerContactBM.pdf

the interconnection of port contact systems via a skew-symmetric relation between the ... of interconnection and implicit Hamiltonian sys- tems, pages 1–16. ...

http://ce152.ewi.utwente.nl/~geoplex/papers/163.pdf

by G Blankenstein - Cited by 22

http://infoscience.epfl.ch/record/129529/files/BlRa2004.pdf

by A van der Schaft - Cited by 7

http://www-lar.deis.unibo.it/news/files/pchs_impl.pdf

by A van der Schaft - Cited by 10

http://www-lar.deis.unibo.it/news/files/pchs.pdf

Implicit Hamiltonian Systems: Symmetry and Interconnection. PhD thesis, University of Twente, Enschede, The Netherlands, 2000. ...

http://gyokuro.haya.nuem.nagoya-u.ac.jp/~fujimoto/ftp/scl01b.pdf

by K Fujimotoa - Cited by 13

http://gyokuro.haya.nuem.nagoya-u.ac.jp/~fujimoto/ftp/cdc01b.pdf

damping injection, port-interconnection, and energy shaping to the system. ...... [3] A.J. van der Schaft, “Implicit Hamiltonian systems with symmetry”, ...

http://ieeexplore.ieee.org/iel5/4433999/4434000/04434262.pdf?arnumber=4434262

Hamiltonian systems, control by interconnection and energy .... implicit state feedback law. Then, same procedure presented ..... symmetry. Springer, New York, 1994. [8] R. Ortega, A. J. van der Schaft, I. Mareels, and B. M. Maschke, ...

http://ieeexplore.ieee.org/iel5/9774/30838/01429325.pdf?arnumber=1429325

by P Tabuada - 2003 - Cited by 16

http://www.seas.upenn.edu/~pappasg/papers/AUT03-Hamiltonian.pdf

by BM Maschke - Cited by 3

http://www.nt.ntnu.no/users/skoge/prost/proceedings/ifac2005/Fullpapers/03669.pdf

by D Jeltsema - Cited by 4

http://www.nt.ntnu.no/users/skoge/prost/proceedings/ifac2002/data/content/00474/474.pdf

by J Cerveraa - 2007 - Cited by 21

http://iwi.eldoc.ub.rug.nl/FILES/root/2007/AutomaticaCervera/2007AutomaticaCervera.pdf

Skew-symmetry is due to the following: (X1, h1), (X2, h2) ∈ D ⇒ 〈h1|X2〉+〈h2|X1〉 = 0. .... implicit. In this section we formalize such implicit physical ..... that the interconnection of a discrete port-Hamiltonian system ...

http://iwi.eldoc.ub.rug.nl/FILES/root/2006/SystContLettTalasila/2006SystContLettTalasila.pdf

by M de León - Cited by 10

http://faemino.ucsd.edu/~soniamartinez/papers/data/2004_LeCoMaMa-rmp.pdf

by DEUI CHANG - Cited by 13

http://www.math.uwaterloo.ca/~dechang/papers/2004_SICON_ChMa.pdf

A2 - an skew-symmetric interconnection matrix J(x) = −JT (x), and .... and an implicit port-controlled Hamiltonian system is obtained (2.1). ...

http://www.tesisenxarxa.net/TESIS_UPC/AVAILABLE/TDX-1212106-110114//03Adc03de08.pdf

by V Duindam - Cited by 7

http://www.ce.utwente.nl/rtweb/publications/2005/pdf-files/109CE2005_IFAC_Praag.pdf

by VDS Stramigioli - Related articles

http://www.ce.utwente.nl/rtweb/publications/2004/pdf-files/130CE2004_Dnm_Smi.pdf

by D Paire - Cited by 2

http://www.dimec.unisa.it/WHSV/08_Abstract.pdf

two general classes of implicit discretizations which preserve Poisson brackets ... discretize the reduced Hamiltonian system or (ii) attempt a discretization of the ..... is a combination of the two 'internal symmetry' constraints, ...

http://www.iop.org/EJ/article/0264-9381/21/4/014/cqg4_4_014.pdf

The point we wish to emphasize here is perhaps implicit ... singular Lagrangian systems. Let Sr(q, ˙q,t) be a symmetry transformation. By this we mean ..... possible to physically interpret the Hamiltonian system. ...

http://www.iop.org/EJ/article/0264-9381/17/22/305/q02205.pdf

the context of interconnected systems. One of the premises implicit in system theory and ...... that interconnection imposes symmetric constraints on the ...... of Complex Physical Systems—The Port-Hamiltonian Approach, to appear. ...

http://homes.esat.kuleuven.be/~jwillems/Articles/JournalArticles/2007.1.pdf

by AD Blaom - 2002 - Related articles

http://www.math.uiuc.edu/documenta/vol-07/18.pdf

Figure 2.1- Implicit port-controlled Hamiltonian system with dissipation 35 ... Figure 2.3-Interconnection of port-Hamiltonian systems 40 ... Skew-symmetric Jacobi matrix. Lie bracket. Xf. Vector field ...

http://idochp2.irandoc.ac.ir/fulltextmanager/fulltext15/TH/71/71683.pdf

as well as the interconnection theory of port-Hamiltonian systems. .... The generic bifurcations of REs of symmetric Hamiltonian systems are only even .... be modelled as an implicit Hamiltonian system with respect to a switching Dirac ...

http://www.matapp.unimib.it/~suster/magic.pdf

by AD Blaom - 2002 - Related articles

http://www.emis.de/journals/DMJDMV/vol-07/18.pdf

by JM Arms - 1981 - Cited by 130

http://www.cds.caltech.edu/~marsden/bib/1981/01-ArMaMo1981/ArMaMo1981.pdf

by I PARASYUK - 1994 - Cited by 3

http://www.sm.luth.se/~norbert/home_journal/electronic/1_4art2.pdf

for numerical solution of the Hamiltonian system based on a ... with several explicit and implicit Runge-Kutta methods. The preservation of symmetry ...

http://www.maths.dur.ac.uk/events/Meetings/LMS/2000/GI00.pdf

P. BASARAB-HORWATH and W. FUSHCHYCH, Implicit and Parabolic Ansatzes: Some New Ansatzes for Old Equations . .... Bi-Hamiltonian Systems . ... PODOSHVELEV, The Symmetry of a Generalized Burgers System .....................470 ...

http://www.slac.stanford.edu/econf/C9707077/papers/contents2.pdf

by MP Calvo - Cited by 45

http://eprints.kfupm.edu.sa/22449/1/22449.pdf

22 Mar 2001 ... enlighten the role played by implicit underlying geometric ... to give conditions under which symmetries may be preserved when switching be- ..... to associate with the interconnection structure of the network models a geometric ... Hamiltonian system with external variables may be defined. ...

http://cas.ensmp.fr/~levine/Abstracts_25ans.pdf

by D FIORAVANTI - 2002 - Related articles

http://www.imath.kiev.ua/~symmetry/Symmetry2001/Fioravanti323-331.pdf

by K BRADING - Cited by 40

http://philsci-archive.pitt.edu/archive/00000926/00/symmetrybook.pdf

The observables representing the action of the symmetries of the theory in the state space, and therefore commuting with the Hamiltonian of the system, ...

http://assets.cambridge.org/97805218/21377/sample/9780521821377ws.pdf

given as the graph of the skew-symmetric map ... Leads to port-Hamiltonian system in implicit form .... Interconnection of an infinite-dimensional port-Hamiltonian system with a finite-dimensional port-Hamiltonian system leads to a ...

http://www.dcsc.tudelft.nl/Symposium/SlidesVanderSchaft.pdf

by J DE GRANT - Related articles

http://www.jdegrant.co.uk/papers/Keio/Keio.pdf

by MY Ayad - Related articles

http://www.aedie.org/11chlie-papers/120-Ayad.pdf

by D Andrieux - Cited by 3

http://homepages.ulb.ac.be/~gaspard/AG.PRL.08.pdf

4.10 Corollary: Assume the reducibility algorithm implicit in steps (l)-(3) of .... a reduction w.r.t. a finite symmetry group G. For example, if T is invariant under .... For another example of a Hamiltonian system which is completely ...

http://www.ima.umn.edu/preprints/May90Series/646.pdf

by R SALMON - 1985 - Cited by 76

http://archipelago.uma.pt/pdf_library/Salmon_1985_JFM.pdf