4 papers
Non static exponential turnpike property for optimal control problems with symmetries and boundary conditions
Sofya Maslovskaya, Sina Ober-Blöbaum, Boris Wembe
Optimal control problems with symmetries often admit a non stationary turnpike property called trim turnpike, which characterizes the convergence of optimal solutions to certain sy…
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…
Continuous and discrete damping reduction for systems with quadratic interaction
Farhang Haddad Farshi, Fernando Jiménez, Sina Ober-Blöbaum
We study the connection between Lagrangian and Hamiltonian descriptions of closed/open dynamics, for a collection of particles with quadratic interaction (closed system) and a sub-…
A Fractional Variational Approach for Modelling Dissipative Mechanical Systems: Continuous and Discrete Settings
Fernando Jiménez, Sina Ober-Blöbaum
Employing a phase space which includes the (Riemann-Liouville) fractional derivative of curves evolving on real space, we develop a restricted variational principle for Lagrangian…