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Discrete stochastic port-Hamiltonian systems
Automatica, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cordoni, Francesco Giuseppe +2 more
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Irreversible port Hamiltonian systems
IFAC Proceedings Volumes, 2012Abstract A class of quasi port Hamiltonian system expressing the first and second principle of thermodynamic as a structural property is defined, namely Irreversible PHS. The IPHS is defined by: a generating function that for physical systems corresponds to the total energy; a constant skew-symmetric structure matrix that represents the network ...
Héctor Ramirez +2 more
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2009
In this chapter, we will show how the representation of a lumped-parameter physical system as a bond graph naturally leads to a dynamical system endowed with a geometric structure, called a port-Hamiltonian system. The dynamics are determined by the storage elements in the bond graph (cf. Sect. 1.6.3), as well as the resistive elements (cf. Sect. 1.6.4)
Vincent Duindam +3 more
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In this chapter, we will show how the representation of a lumped-parameter physical system as a bond graph naturally leads to a dynamical system endowed with a geometric structure, called a port-Hamiltonian system. The dynamics are determined by the storage elements in the bond graph (cf. Sect. 1.6.3), as well as the resistive elements (cf. Sect. 1.6.4)
Vincent Duindam +3 more
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Control of Port-Hamiltonian Systems
2007Energy plays a central role in the control of physical systems since the "shape" of the energy is related to the stability properties of the system. In fact, it is well known from physics, that every configuration characterized by a (local) minimum of the energy exhibits a (locally) stable behavior.
Secchi C., Fantuzzi C., Stramigioli S.
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Incrementally port-Hamiltonian systems
52nd IEEE Conference on Decision and Control, 2013This paper introduces the new class of incrementally port-Hamiltonian systems. This class can be obtained from standard port-Hamiltonian systems by replacing the composition of the Dirac structure and energy-dissipating relation by a maximal monotone relation.
Camlibel, M Kanat, van der Schaft, AJ
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Homogeneous Port-Hamiltonian Systems
2012In the previous two chapters we have formulated partial differential equations as abstract first order differential equations. Furthermore, we described the solutions of these differential equations via a strongly continuous semigroup. These differential equations were only weakly connected to the norm of the underlying state space.
Birgit Jacob, Hans J. Zwart
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Physical Modeling and Port-Hamiltonian Systems
2007Interaction between physical systems is determined by an exchange of energy and, therefore, a first step towards the control of interaction is to explicitly model the energetic properties of physical systems. © 2007 Springer-Verlag Berlin Heidelberg.
Secchi C., Fantuzzi C., Stramigioli S.
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Stability of Port-Hamiltonian Systems
2012In this chapter we return to the class of port-Hamiltonian partial differential equations which we introduced in Chapter 7. If a port-Hamiltonian system possesses n (linearly independent) boundary conditions and if the energy is non-increasing, then the associated abstract differential operator generates a contraction semigroup on the energy space.
Birgit Jacob, Hans J. Zwart
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Infinite-Dimensional Port-Hamiltonian Systems
2009This chapter presents the formulation of distributed parameter systems in terms of port-Hamiltonian system. In the first part it is shown, for different examples of physical systems defined on one-dimensional spatial domains, how the Dirac structure and the port-Hamiltonian formulation arise from the description of distributed parameter systems as ...
Vincent Duindam +3 more
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