Results 121 to 130 of about 9,436,648 (214)
Neural Scaling Laws for Learning-Based Identification of Nonlinear Systems
IEEE Open Journal of Control SystemsThe use of machine learning models in system identification has increased due to their ability to approximate complex nonlinear dynamics with high accuracy.
Marco Roschkowski +2 more
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Journal of Mathematics in IndustryDifferential-algebraic equations (DAEs) present a ubiquitous model class in the automated modeling, simulation, control and optimization of complex finite or infinite dimensional dynamical systems, in particular in the construction of digital twins. When
Volker Mehrmann
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Interconnection of port‐Hamiltonian systems with port‐Hamiltonian neural networks
PAMMAbstractPort‐Hamiltonian neural networks can be used to capture the interactions between small interconnected port‐Hamiltonian systems from data. We now examine different composed models and check how accurate we can train the modified composed systems.
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Port-Hamiltonian systems and monotonicity
, 2022 The relationships between port-Hamiltonian systems modeling and the notion of monotonicity are explored. The earlier introduced notion of incrementally port-Hamiltonian systems is extended to maximal cyclically monotone relations, together with their ...
Camlibel, M. Kanat +1 more
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Port-Hamiltonian Systems: Network Modeling and Control of Nonlinear Physical Systems [PDF]
, 2004 It is shown how port-based modeling of lumped-parameter complex physical systems (multi-body systems, electrical circuits, electromechanical systems,..) naturally leads to a geometrically defined class of systems, called port-Hamiltonian systems. These are Hamiltonian systems defined with respect to a power-conserving geometric structure capturing the ...
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Neural network quaternion-based controller for port-Hamiltonian system
Demonstratio MathematicaIn this research article, a control approach for port-Hamiltonian PH systems based in a neural network (NN) quaternion-based control strategy is presented. First, the dynamics is converted by the implementation of a Poisson bracket in order to facilitate
Alsaadi Fawaz E. +2 more
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Boundary Energy Shaping of Linear Distributed Port-Hamiltonian Systems
, 2012 This paper deals with the stabilization via Casimir generation and energy shaping of linear, lossless, distributed port-Hamiltonian systems. Once inputs and outputs of the distributed port-Hamiltonian system have been chosen to obtain a well-defined ...
MACCHELLI, ALESSANDRO
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Exergetic port-Hamiltonian systems for multibody dynamics
Multibody System DynamicsAbstract Multibody dynamics simulation plays an important role in various fields, including mechanical engineering, robotics, and biomechanics. Setting up computational models however becomes increasingly challenging as systems grow in size and complexity.
Markus Lohmayer +2 more
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Hamiltonian PDEs: new connections between dynamical systems and PDEs with small divisors phenomena
, 2008 Many partial differential equations arising in physics can be seen as infinite dimensional Hamiltonian systems. Main examples are the nonlinear wave equation, the nonlinear Schrödinger equation, the beam, the membrane and the Kirkhoff equations in ...
BERTI, MASSIMILIANO
core
Port-Hamiltonian Systems on Simplicial Complexes
, 2012 Geometric structures behind a variety of physical systems stemming from mechanics, electromagnetism and chemistry exhibit a remarkable unity enunciated by Dirac structures. The open dynamical systems defined with respect to these structures belong to the
van der Schaft, Abraham +3 more
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