4 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…
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…
Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term
Michael Konopik, Rodrigo T. Sato MartÃn 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…