19 citations · 63 across the 15 of their papers we have counts for
16 papers
Second order optimality conditions in a new Lagrangian formulation for optimal control problems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya +2
It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the…
A new Lagrangian approach to optimal control of second-order systems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya +2
In this work, we propose and study a new approach to formulate the optimal control problem of second-order differential equations, with a particular interest in those derived from…
Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term
Michael Konopik, Rodrigo T. Sato Martín de Almagro, Sofya Maslovskaya +2
In this work, we analyse the discretisation of a recently proposed new Lagrangian approach to optimal control problems of affine-controlled second-order differential equations with…
Variational multirate integrators
Sina Ober-Blöbaum, Theresa Wenger, Tobias Gail +1
The simulation of systems that act on multiple time scales is challenging. A stable integration of the fast dynamics requires a highly accurate approximation whereas for the simula…
Exergetic Port-Hamiltonian Systems Modeling Language
Markus Lohmayer, Owen Lynch, Sigrid Leyendecker
Mathematical modeling of real-world physical systems requires the consistent combination of a multitude of physical laws and phenomenological models. This challenging task can be g…
Neural networks for the approximation of Euler's elastica
Elena Celledoni, Ergys Çokaj, Andrea Leone +5
Euler's elastica is a classical model of flexible slender structures, relevant in many industrial applications. Static equilibrium equations can be derived via a variational princi…
Discrete Adjoint Method for Variational Integration of Constrained ODEs and its application to Optimal Control of Geometrically Exact Beam Dynamics
Matthias Schubert, Rodrigo T. Sato Martín de Almagro, Karin Nachbagauer +2
Direct methods for the simulation of optimal control problems apply a specific discretization to the dynamics of the problem, and the discrete adjoint method is suitable to calcula…
A new Lagrangian approach to control affine systems with a quadratic Lagrange term
Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blobaum +2
In this work, we consider optimal control problems for mechanical systems on vector spaces with fixed initial and free final state and a quadratic Lagrange term. Specifically, the…
Optimal control of dielectric elastomer actuated multibody dynamical systems
Dengpeng Huang, Sigrid Leyendecker
In this work, a simulation model for the optimal control of dielectric elastomer actuated flexible multibody dynamics systems is presented. The Dielectric Elastomer Actuator (DEA)…
Exergetic Port-Hamiltonian Systems: Navier-Stokes-Fourier Fluid
Markus Lohmayer, Sigrid Leyendecker
The Exergetic Port-Hamiltonian Systems modeling language combines a graphical syntax inspired by bond graphs with a port-Hamiltonian semantics akin to the GENERIC formalism. The sy…
EPHS: A Port-Hamiltonian Modelling Language
Markus Lohmayer, Sigrid Leyendecker
A prevalent theme throughout science and engineering is the ongoing paradigm shift away from isolated systems towards open and interconnected systems. Port-Hamiltonian theory devel…
A spatially adaptive phase-field model of fracture
Dhananjay Phansalkar, Kerstin Weinberg, Michael Ortiz +1
Phase-field models of fracture introduce smeared cracks of width commensurate with a regularisation length parameter and obeying a minimum energy principle. Mesh adaptivity nat…
An electromechanically coupled beam model for dielectric elastomer actuators
Dengpeng Huang, Sigrid Leyendecker
In this work, the Cosserat formulation of geometrically exact beam dynamics is extended by adding the electric potential as an additional degree of freedom to account for the elect…
A multirate variational approach to simulation and optimal control for flexible spacecraft
Yana Lishkova, Sina Ober-Blöbaum, Mark Cannon +1
We propose an optimal control method for simultaneous slewing and vibration control of flexible spacecraft. Considering dynamics on different time scales, the optimal control probl…
Exergetic Port-Hamiltonian Systems: Modelling Basics
Markus Lohmayer, Paul Kotyczka, Sigrid Leyendecker
Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be…
Kinematic Flexibility Analysis: Hydrogen Bonding Patterns Impart a Spatial Hierarchy of Protein Motion
Dominik Budday, Sigrid Leyendecker, Henry van den Bedem
Elastic network models (ENM) and constraint-based, topological rigidity analysis are two distinct, coarse-grained approaches to study conformational flexibility of macromolecules.…