Some notes on port-Hamiltonian systems on Banach spaces [PDF]
, 2021 We consider port-Hamiltonian systems from a functional analytic perspective. Dirac structures and Hamiltonians on Banach spaces are introduced, and an energy balance is proven.
Reis, Timo
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A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems
Mathematical and Computer Modelling of Dynamical Systems, 2023 We present a new structure-preserving model order reduction (MOR) framework for large-scale port-Hamiltonian descriptor systems (pH-DAEs). Our method exploits the structural properties of the Rosenbrock system matrix for this system class and utilizes ...
Tim Moser, Boris Lohmann
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Observability for port-Hamiltonian systems [PDF]
, 2021 The class of port-Hamiltonian systems incorporates many physical models, such as mechanical systems in the finite-dimensional case and wave and beam equations in the infinite-dimensional case.
Zwart, Hans +4 more
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On Factorization, Interconnection and Reduction of Collocated Port-Hamiltonian Systems [PDF]
, 2004 Based on a geometric interpretation of nonlinear balanced reduction some implications of this approach are analyzed in the case of collocated port-Hamiltonian systems which have a certain balance in its structure.
Ricardo Lopezlena +6 more
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Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
, 2011 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 a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
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On Energy Conversion in Port-Hamiltonian Systems [PDF]
, 2021 Port-Hamiltonian systems with two external ports are studied, together with the strategies and obstructions for conversion of energy from one port to the other.
Dimitri Jeltsema +4 more
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Port-Hamiltonian Systems [PDF]
, 2017 As described in the previous Chaps. 3 and 4, (cyclo-)passive systems are defined by the existence of a storage function (nonnegative in case of passivity) satisfying the dissipation inequality with respect to the supply rate s(u, y) = uTy.
van der Schaft, Arjan
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A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach [PDF]
, 2006 We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure.
Ramkrishna Pasumarthy, R.P. +8 more
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Geometric Modeling for Control of Thermodynamic Systems
Entropy, 2023 This paper discusses the way that energy and entropy can be regarded as storage functions with respect to supply rates corresponding to the power and thermal ports of the thermodynamic system. Then, this research demonstrates how the factorization of the
Arjan van der Schaft
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Construction of discrete-time model for port-controlled Hamiltonian systems with applications [PDF]
, 2006 The issues of constructing a discrete-time model for Hamiltonian systems are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees Hamiltonian conservation ...
Astolfi, A., +4 more
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