published on October 19, 2023
Sums of squares approximations in polynomial optimization: performance analysis and degree bounds
By Monique Laurent
Discrete-time port-Hamiltonian systems and control
Appears in collection : Energy-Based Modeling, Simulation, and Control of Complex Constrained Multiphysical Systems / Modélisation structurée, intégration géométrique et commande de systèmes multiphysiques contraints
Port-Hamiltonian (PH) systems' theory is a powerful framework for modeling, simulation and control of interconnected multiphysical systems. A consistent numerical treatment of PH systems requires the preservation of the underlying Dirac structure, which represents interconnections and energy conversions. In this talk it will be shown how symplectic integration can be used to define discrete-time PH systems and to implement nonlinear controls in slowly sampled systems with high accuracy.
