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Journal of Geometry and Physics

Volumn 42, Issue 1-2, 2002, Pages 166-194

Hamiltonian formulation of distributed-parameter systems with boundary energy flow

(2) Van Der Schaft, A J a Maschke, B M b

a UNIVERSITY OF TWENTE (Netherlands)

b UNIVERSITÉ LYON 1 (France)

Author keywords

Boundary variables; Conservation laws; Dirac structures; Distributed parameter systems; Hamiltonian systems; Stokes' theorem

Indexed keywords

EID: 0036209577 PISSN: 03930440 EISSN: None Source Type: Journal
DOI: 10.1016/S0393-0440(01)00083-3 Document Type: Article

Times cited : (496)

References (33)

1
- 0003356898
- Topological methods in hydrodynamics
- Springer, New York
- (1998) Applied Mathematical Sciences , vol.125
- Arnold, V.I.¹ Khesin, B.A.²

2
- 0001061853
- Representations of Dirac structures on vector spaces and nonlinear LC circuits
- G. Ferreyra, R. Gardner, H. Hermes, H. Sussmann (Eds.), Proceedings of the Symposia in Pure Mathematics, Differential Geometry and Control Theory, AMS
- (1999) , vol.64 , pp. 103-117
- Bloch, A.M.¹ Crouch, P.E.²

3
- 0003498181
- Implicit Hamiltonian Systems: Symmetry and Interconnection
- Ph.D. Thesis, University of Twente, The Netherlands, November
- (2000)
- Blankenstein, G.¹

4
- 0002540789
- Symmetry and reduction in implicit generalized Hamiltonian systems
- (2001) Rep. Math. Phys , vol.47 , pp. 57-100
- Blankenstein, G.¹ van der Schaft, A.J.²

5
- 0000223236
- On the multisymplectic formalism for first order field theories
- (1991) Differential Geometry Appl , vol.1 , pp. 345-374
- Carinena, J.F.¹ Crampin, M.² Ibort, L.A.³

6
- 0000884429
- Dirac manifolds
- (1990) Trans. Am. Math. Soc , vol.319 , pp. 631-661
- Courant, T.¹

7
- 0032154062
- On representations and integrability of mathematical structures in energy-conserving physical systems
- (1999) SIAM J. Control Optimiz , vol.37 , pp. 54-91
- Dalsmo¹ van der Schaft, A.J.²

8
- 0004098636
- Dirac Structures and Integrability of Nonlinear Evolution Equations
- Wiley, Chichester
- (1993)
- Dorfman, I.¹

9
- 0002245635
- Nonlinear stability of fluid and plasma equilibria
- (1985) Phys. Rep , vol.123 , pp. 1-116
- Holm, D.D.¹ Marsden, J.E.² Ratiu, T.E.³ Weinstein, A.⁴

10
- 0000095183
- Boundary control systems
- (1968) SIAM J. Control , vol.6 , pp. 349-385
- Fattorini, H.O.¹

11
- 0004163176
- Classical Electrodynamics, PWN-Polish Science Publishers
- Warszawa, Elsevier, Amsterdam
- (1985)
- Ingarden, R.S.¹ Jamiolkowski, A.²

12
- 0000454190
- The Hamiltonian structure for dynamic free boundary problems
- (1986) Physica D , vol.18 , pp. 391-404
- Lewis, D.¹ Marsden, J.E.² Montgomery, R.³ Ratiu, T.⁴

13
- 84968468460
- Semidirect products and reduction in mechanics
- (1984) Trans. Am. Math. Soc , vol.281 , pp. 147-177
- Marsden, J.E.¹ Ratiu, T.² Weinstein, A.³

14
- 0002028330
- Reduction and Hamiltonian structures on duals of semidirect product Lie algebras
- (1984) AMS Contemp. Math , vol.28 , pp. 55-100
- Marsden, J.E.¹ Ratiu, T.² Weinstein, A.³

15
- 0013039699
- Multisymplectic geometry, covariant Hamiltonians and water waves
- (1999) Math. Proc. Camb. Philos. Soc , vol.125 , pp. 553-575
- Marsden, J.E.¹ Shkoller, S.²

16
- 38249008822
- An intrinsic Hamiltonian formulation of network dynamics: Non-standard Poisson structures and gyrators
- (1992) J. Franklin Inst , vol.329 , pp. 923-966
- Maschke, B.M.¹ van der Schaft, A.J.² Breedveld, P.C.³

17
- 0008726924
- Interconnection of systems: The network paradigm
- Proceedings of the 35th IEEE CDC, Kobe, Japan
- (1996) , pp. 207-212
- Maschke, B.M.¹ van der Schaft, A.J.²

18
- 0003207640
- Interconnected mechanical systems
- A. Astolfi, D.J.N. Limebeer, C. Melchiorri, A. Tornambè, R.B. Vinter (Eds.), Modelling and Control of Mechanical Systems, Parts I and II, Imperial College Press, London
- (1997) , pp. 1-30
- Maschke, B.M.¹ van der Schaft, A.J.²

19
- 0001943204
- An energy-based derivation of Lyapunov functions for forced systems with application to stabilizing control
- Proceedings of the 14th IFAC World Congress, Vol. E, Beijing
- (1999) , pp. 409-414
- Maschke, B.M.¹ Ortega, R.² van der Schaft, A.J.³ Escobar, G.⁴

20
- 0003018515
- Port controlled Hamiltonian representation of distributed parameter systems
- N.E. Leonard, R. Ortega (Eds.), Proceedings of the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Princeton University
- (2000) , pp. 28-38
- Maschke, B.M.¹ van der Schaft, A.J.²

21
- 0002878823
- Hamiltonian representation of distributed parameter systems with boundary energy flow
- A. Isidori, F. Lamnabhi-Lagarrigue, W. Respondek (Eds.), Nonlinear Control in the Year 2000, Lect. Notes Control and Inf. Sci., Springer, Berlin
- (2000) , vol.258 , pp. 137-142
- Maschke, B.M.¹ van der Schaft, A.J.²

22
- 0032364496
- Hamiltonian description of the ideal fluid
- (1998) Rev. Mod. Phys , vol.70 , pp. 467-521
- Morrison, P.J.¹

23
- 0000067611
- Noncanonical hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics
- (1980) Phys. Rev. Lett , vol.45 , pp. 790-794
- Morrison, P.J.¹ Greene, J.M.²

24
- 0003686926
- Second Edition, Springer, Berlin
- (1993) Applications of Lie Groups to Differential Equations
- Olver, P.J.¹

25
- 0033345439
- Energy-shaping of port-controlled Hamiltonian systems by interconnection
- Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, December
- (1999) , pp. 1646-1651
- Ortega, R.¹ van der Schaft, A.J.² Maschke, B.M.³ Escobar, G.⁴

26
- 0035311930
- Putting energy back in control
- (2001) Control Syst. Magazine , vol.21 , pp. 18-33
- Ortega, R.¹ van der Schaft, A.J.² Mareels, I.³ Maschke, B.M.⁴

27
- 0008711661
- On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping
- Technical report February 2001, in: Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, December
- (2001)
- Rodriguez, H.¹ van der Schaft, A.J.² Ortega, R.³

28
- 0032039820
- Implicit Hamiltonian systems with symmetry
- (1998) Rep. Math. Phys , vol.41 , pp. 203-221
- van der Schaft, A.J.¹

29
- 7544242756
- Interconnection and geometry
- J.W. Polderman, H.L. Trentelman (Eds.), The Mathematics of Systems and Control, from intelligent Control to Behavioral Systems, Groningen
- (1999) , pp. 203-218
- van der Schaft, A.J.¹

30
- 0003446469
- 2nd revised and enlarged edition, Springer, Berlin, Springer Communications and Control Engineering Series, London, (Lect. Notes in Control and Inf. Sciences, First Edition, Springer, Berlin, 1996)
- (2000) 2-Gain and Passivity Techniques in Nonlinear Control , vol.218
- van der Schaft, A.J.¹

31
- 0000015864
- The Hamiltonian formulation of energy conserving physical systems with external ports
- (1995) Archiv für Elektronik und Übertragungstechnik , vol.49 , pp. 362-371
- van der Schaft, A.J.¹ Maschke, B.M.²

32
- 33750393710
- Fluid dynamical systems as Hamiltonian boundary control systems, Memorandum 1575
- Fac. Mathematical Sciences, University of Twente, Enschede, The Netherlands, March 2001, in: Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, December
- (2001)
- van der Schaft, A.J.¹ Maschke, B.M.²

33
- 0003162218
- Passive output feedback and port interconnection
- Proceedings of the 4th IFAC NOLCOS, Enschede
- (1998) , pp. 613-618
- Stramigioli, S.¹ Maschke, B.M.² van der Schaft, A.J.³

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