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Content Provider | IEEE Xplore Digital Library |
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Author | Seslija, M. Scherpen, J.M.A. van der Schaft, A. |
Copyright Year | 2011 |
Description | Author affiliation: Faculty of Mathematics and Natural Sciences, University of Groningen, 9747 AG, The Netherlands (Seslija, M.; Scherpen, J.M.A.; van der Schaft, A.) |
Abstract | This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce simplicial Dirac structures as discrete analogues of the Stokes-Dirac structure and demonstrate that they provide a natural framework for deriving finite-dimensional port-Hamiltonian systems that emulate their infinite-dimensional counterparts. This approach of discrete differential geometry, rather than discretizing the partial differential equations, allows to first discretize the underlying Stokes-Dirac structure and then to impose the corresponding finite-dimensional port-Hamiltonian dynamics. In this manner, we preserve a number of important topological and geometrical properties of the system. |
Starting Page | 7003 |
Ending Page | 7008 |
File Size | 584876 |
Page Count | 6 |
File Format | |
ISBN | 9781612848006 |
ISSN | 07431546 |
e-ISBN | 9781612848013 |
e-ISBN | 9781612847993 |
DOI | 10.1109/CDC.2011.6160579 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2011-12-12 |
Publisher Place | USA |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Manifolds Calculus Equations Geometry Mathematical model Boundary conditions Trajectory |
Content Type | Text |
Resource Type | Article |
Subject | Control and Optimization Control and Systems Engineering Modeling and Simulation |
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